Suppose that 73% of all dialysis patients will survive for at least 5 years.
In a simple random sample of 100 new dialysis patients, what is the probability that
the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal
places?
Previous Page
Next Page
A
Page 9 of 1

Answers

Answer 1

The probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is approximately 0.0630 (rounded to 5 decimal places).

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

We can model the proportion surviving for at least five years in a sample of dialysis patients as a binomial random variable with parameters n = 100 (sample size) and p = 0.73 (probability of survival).

The sample proportion of patients surviving for at least five years is a random variable given by -

\(\hat{\rho}\) = X/n

where X is the number of patients surviving for at least five years in the sample.

The expected value and standard deviation of the sample proportion are given by -

E(\(\hat{\rho}\)) = p = 0.73

SD(\(\hat{\rho}\)) = sqrt[p(1-p)/n] ≈ 0.0458

To find the probability that the proportion surviving for at least five years will exceed 80%, we standardize the sample proportion as follows -

(z-score) = (\(\hat{\rho}\) - p) / SD(\(\hat{\rho}\))

(z-score) = (0.80 - 0.73) / 0.0458 ≈ 1.53

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable exceeding 1.53 is approximately 0.0630.

Therefore, the probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is approximately 0.0630 (rounded to 5 decimal places).

To learn more about probability from the given link

https://brainly.com/question/23286309

#SPJ1


Related Questions

some adults and children are watching a musical there are n children there are 25 fewer adults

Answers

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

For more questions on algebraic expression:

https://brainly.com/question/29333936

#SPJ8

For the given pair of events A and​ B, complete parts​ (a) and​ (b) below. ​A: When a page is randomly selected and ripped from a 29​-page document and​ destroyed, it is page 15. ​B: When a different page is randomly selected and ripped from the​ document, it is page 24.

Required:
a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.)
b. Find​ P(A and​ B), the probability that events A and B both occur

Answers

Answer and Step-by-step explanation:

In probability, events are dependent when the probability of the first event ocurring influences the outcome of the second event.

a. For events A and B, after ripping one page, it is destroyed, so the total number of pages changed. Therefore, events A and B are dependent.

b. To find the probability of both events happening, first, determine the probabilities of each event:

P(A) = \(\frac{1}{29}\)

P(B) = \(\frac{1}{28}\)

P(A and B) = \(\frac{1}{29}.\frac{1}{28}\)

P(A and B) = \(\frac{1}{812}\)

Probability of A and B occur is 0.12% or \(\frac{1}{812}\).

. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?

Answers

14+5= 19; 19-8=11. the hotel elevator is now on the 11th floor

Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.

Find the maximum and minimum points of the function y = 2 cos (x + /2) + 1.

Answers

The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

How to determine the maximum and minimum points of the function?

From the question, we have the following function that can be used in our computation:

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

Read more about trigonometry functions at

https://brainly.com/question/24349828

#SPJ1

Find the maximum and minimum points of the function y = 2 cos (x + /2) + 1.

If a person travels 440 meters in 11 seconds, what is the average speed of the person?

Answers

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).

Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified

Answers

Answer:

a=40+8pi, p=4pi+4(sqrt of 29)

Step-by-step explanation:

rsm geometry class 122?

The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?



help

Answers

10 because 800divided by 80 is 10

The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.

Answers

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?

Answers

Answer:

1,264

Step-by-step explanation:

a = 1000(1.06)^4

a = 1,262.47696

1,264

Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?

Answers

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

An eqiation is show 5x + 3x = 5x + 15/2what value of 3x make the equation true

Answers

15/2

1) Let's evaluate that for 3x

5x + 3x = 5x + 15/2 Subtract 5x in both sides

3x = 5x -5x +15/2

3x = 15/2

2) Therefore, the answer to that question is 15/2. Take a look at this proof

5x + 3x = 5x + 15/2

5x + 15/2 = 5x + 15/2 True.

Hence, 3

a soccer ball is 15 feet from the goal. The angle of elevation from the soccer ball to the top of the goal crossbar is 34. How far will Megan have to kick the soccer to hit the crossbar?

Answers

Answer:

  18.1 feet

Step by step explanation:

You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.

Cosine

To answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.

  cos(34°) = (15 feet)/(distance to be kicked)

  (distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet

This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.

Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

What is Trigοnοmetric ratiοs?

The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.

We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).

The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.

We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.

Using trigοnοmetry, we can find the length οf AB:

tan(A) = οppοsite/adjacent

tan(34) = AB/15

AB = 15 * tan(34)

AB ≈ 9.43 feet

Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.

To know more about Trigonometric ratios visit,

https://brainly.com/question/24349828

#SPJ1

what is 1/2 / 3 1/6 equal to pls help me

Answers

Answer:

3/19

Step-by-step explanation:

1/2 ÷ 3 1/6

= 1/2 ÷ 19/6

= 1/2 * 6/19

= 6/38 = 3/19

ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

Find f(-3) if f(x) = x 2.
so cunfusing, im horrible at math

Answers

f(-3)=-6 is the answer

I'm not sure what that " x 2 " means.

If it means 2x, then f(-3) = -6 .

If it means x-squared, then f(-3) = 9 .

3
y + yz + z + y use y = -2, and z = 6

Answers

Answer is -14

Step by step

3y + yz + z + y

Use y= -2 and z = 6
Substitute values for y and z

3(-2) + (-2*6) + 6 + (-2)
Multiply first per PEMDAS rule

-6 + (-12) + 6 + (-2)
Add and subtract

= -14

Suppose that a speculator notes that the current three-months forward rate on the euro is
$1.36 and the speculator expects that, in three months, the euro will have a value of
$1.40. In this situation, the speculator would ________ euros on the forward market,
and this activity ________ for the speculator.
4) _______
A) sell; involves no possible risk B) buy; involves risk
C) buy; involves no possible risk D) sell; involves risk

Answers

The correct option is (B) buy; which involves risk

Suppose that a speculator notes that the current three-month forward rate on the euro is$1.36 and the speculator expect that, in three months, the euro will have a value of$1.40. In this situation, the speculator would buy euros on the forward market, and this activity involves risk for the speculator.

In simple terms, risk is the opportunity for something terrible to happen. chance entails uncertainty approximately the effects/implications of an activity with respect to something that people price (which includes fitness, nicely-being, wealth, belongings, or the surroundings), regularly that specializes in the negative, unwanted outcomes. Many distinct definitions had been proposed. The worldwide standard definition of danger for commonplace know-how in one-of-a-kind packages is “impact of uncertainty on targets”.

The expertise of threat, the techniques of evaluation and control, the descriptions of chance, or even the definitions of threat differ in exceptional exercise regions (business, economics, surroundings, finance, statistics generation, health, coverage, protection, safety, and many others). this newsletter provides links to more specified articles on these regions. The global standard for change management, ISO 31000, affords standards and established tips on managing dangers faced by way of companies.

To learn more about involved risk visit here:

brainly.com/question/20714262

#SPJ4

Number 4, Use the net to complete the sentences. The square pyramids base that is_____ units on each side. The height of each triangular face is ______ units.

Number 4, Use the net to complete the sentences. The square pyramids base that is_____ units on each

Answers

The square base pyramids base that is 4 units on each side. The height of each triangular face is 3 units

A total of 27 students are in your class. There are nine more males than females.

How many females are in your class?

Answers

9 females. 18 males.

Find (9.3 × 106) + (1.8 × 104). Express your answer in scientific notation.

Answers

Answer:

(9.3 × 106) + (1.8 × 104) =

985.8 + 187.2 =

1173

Step-by-step explanation:

The required scientific notation of  (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.


To find (9.3 × 106) + (1.8 × 104) and express the answer in scientific notation.

What is scientific notation?

An expression in the form of abE+5 is scientific notation.


To Write the expression in the scientific notation, for example, 12.34 * 10^6
First, put the non-zero digit with desired decimal points in order to show a more simple value, and Put E after the digit and add + and - sign after it which shows the 10 exponents of the digit positive or negative. Then put the value of the exponent. eg 12.34E+6.



⇒(9.3 × 106) + (1.8 × 10^4)
⇒ (9.3 × 106) + (0.018 × 10^6)
⇒ (9.3 + 0.018)× 10^6
⇒ (9.318)× 10^6

For scientific notation
=93.18E+5

Thus, the required scientific notation of  (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

Learn more about scientific notation here:
https://brainly.com/question/18073768

#SPJ6


Helene spends 15% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.

Answers

Answer:

15% = 0.15

15% = \(\frac{15}{100}\)

Step-by-step explanation:

In October Diana planted a tulip bulb 6 inches deep in the soil the next spring when the tulip bloomed it reached a height of 13 inches above the surface what is the total distance from where the bulb was planted to the top of the tulip?

Answers

Answer:

19 inches

step by step:

it was 6 inches into the ground & grows 13 above the surface, (6+13) therefore, you have 19inches

The total distance from where the bulb was planted to the top of the tulip is 19 inches.

It is required to find the total distance.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols

Given:

Diana planted a tulip bulb 6 inches deep in the soil.

Tulip bloomed it reached a height of 13 inches above the surface.

According to given question we have,

It was 6 inches into the ground & grows 13 inches above the surface,

The total distance

=(6+13)

=19 inches.

Therefore, the total distance from where the bulb was planted to the top of the tulip is 19 inches.

Learn more about arithmetic here:

brainly.com/question/17431592

#SPJ2

Reflect the point (0, -2) across the line y= 6

Answers

Answer:

(0, 14)

Step-by-step explanation:

The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.

:)

Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q​

Answers

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

For more such questions on rectangle, click on:

https://brainly.com/question/2607596

#SPJ8

The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.

Answers

Step-by-step explanation:

i think its X=2.75

Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer

Answers

In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong

What is the justification?

\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.

\(4\frac{2}{4} = \frac{16+4}{2}\)

=\(\frac{18}{4}\)

Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)

Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.

Learn more about fraction at;

https://brainly.com/question/78672

#SPJ1

NEED HELP ASAP: Which of the following points is a possible solution to the system
Y < 3x - 1
Y > x - 1

(0, 1)
(-2, 0)
(0, -1)
None of these choices are correct

NEED HELP ASAP: Which of the following points is a possible solution to the system Y &lt; 3x - 1Y &gt;

Answers

The points with possible solution to the system is (0, -1)

From the points;

(0, -1) represents (x, y)

x = 0

y= -1

y ⩽ 3x − 1

-1 ⩽ 3(0) - 1

-1 ⩽ -1

y ⩾ x− 1

-1 ⩾ 0 - 1

-1 ⩾ -1

¿Cuántas hipotenusa tiene el triangulo rectángulo?

Answers

Answer:

Step-by-step explanation:

Only one hypotenuse and it lies opposite to the right angle.

10. Rewrite this fraction 5/6 two different ways. Answers may include an equivalent fraction, a percent, a decimal, a mixed fraction, etc.​

Answers

Given fraction:

\( \boxed{ \sf \frac{5}{6} }\)

Two different ways to rewrite it :

I am using equivalent fraction and percent

As percentage:

\( \tt \frac{5}{6} \)

Calculate the approximate value

\( \tt \approx \: 0.833333\)

Round the number to the nearest ten thousandth

\( \tt0.8333\)

Write as a decimal fraction

\( \tt \frac{83.33}{100} \)

By definition p/100= p%

\( = \sf \: 83.33 \%\)

Equivalent fraction:

Multiply both numerator and denominator by the same number, I am taking 2

\( \bf \frac{5}{6} \times \frac{2}{2} \\ \bf \: \frac{5 \times 2}{6 \times 2} \\ \bf \: = \frac{10}{12} \)

I have 10 sweets. My brother ate 3 sweets and I ate 4. What fraction of my sweets did we eat altogether? (Think about: what is the total number of sweets and how many did we eat.)

Answers

Answer:

7/10

Step-by-step explanation:

If you have 10 sweets

Your brother eats 3

You eat 4

3 + 4 = 7

7 out of ten = 7/10

So therefore the answer is 7/10

Answer:

7/10 (seven tenth)

Step-by-step explanation:

If 7 out of 10 sweets were eaten, then 7/10 of the sweets are gone.

Basically the way you do it, is add the amount of sweets you two ate together, which is 3 + 4 = 7 and there are 10 sweets in all, that's 7/10 of the sweets eaten all together.

Other Questions
My age this year is multiple of 8. My age next year is a multiple of 7. How old am I? Lucy borrowed $73,250 to purchase a home. The bank offered her an APR of 3.15% for a term length of 20 years. Excel calculates the monthly payment to be $411.77. If she were to pay only the minimum payment for the lifetime of the loan, how much will Lucy be paying in interest? The idea of "natural rights" means thatO people have the right to life, liberty, and propertyO government may he because of citizen agreementOpeople divide government into three tasksO government has final authority over all citizens What is Sancho's purpose for writing to convince Sterne?. Discuss the advantages and disadvantages of using BPMN events to identify process milestones relevant primarily to the process analyst as points of reference for KPIs, but not necessarily applicable to the process developer/engineer in modeling for the purpose of execution. Should the US have remained isolated (neutral) throughout The Great War (WWI)? Explain the concept of isolationism? What were the costs or benefits of remaining isolated (neutral)? Which individuals or groups in the US supported or opposed isolationism and why did they support or oppose isolationism? PLEASE HELP The ratio of male employees to female employees is 1:3. If there are 144 femaleemployees in total, how many males are there? 6. Briefly describe the 4 major steps in designing a customer-driven marketing strategy.7. Segment the MARKET for the following products in Tacloban City using the different segmentation variables:a. Foodb. Educationc. RTW goods8. What is a brand? What are the advantages of having a brand for your products? What competitive advantage will brand equity give to a product? Although Leonardo da Vinci is most famous for his paintings, he was also a prolific drawer, What is one of his best-known drawings?A.Vitruvian ManB.The Last SupperC.Mona LisaD.Pieta Help plz i suck at math Which qualities of animals has the poet lost? Standard form 6,000,000+900,000+80,000+9,000+500+80+2 Solve the inequality. 1-12 + y > -5 What is an equation of the line that passes through the points (5, -6) and (-5, -4)? multiple Select QuestionSelect all that applyWhich of the following are barriers to effective listening that managers often face?lack of timeinternal noise Scotty is a single man living in Florida. He currently has the following account balances at a single local FDIC-insured bank: (1) $100,000 in a savings account, (2) $85,000 in a 3-year CD, (3) $30,000 in a money market account, and (4) $40,000 in a 5-year CD. If the bank were to go bankrupt tomorrow, how much will Scotty receive from the FDIC $1.66 x 100 = ? I can't seem to find the correct answer and I must show my work Probability please answer Helppp please find the expectation e(x) and variance var(x) for the task suppose you choose a real number x from the interval [2, 10] with a density function of the form f(x) = c/x , where c is a constant vince is choosing a symmetric encryption algorithm for use in his organization. he would like to choose the strongest algorithm from the choices below. what algorithm should he choose? 100 POINTS !!!!Promptly at 8:00 a.m., the doorbell rang. Letting out another deep sigh, Paul pulledhimself up off the couch and walked to the door. Opening it, he discovered a small,shriveled, white-haired man staring up at him with piercing blue eyes."Mr. Candor?" the man said in a voice that was much larger than he was."Uh, no, sir. My father isn't home right now. I can give you his work number if you'dlike to call him," replied Paul."Mr. Paul Candor is who I'm looking for," said the man. "Is that you?""Oh, yes, sir. That's me. You must be my tutor," said Paul, in a voice that didn't hidehis skepticism."Yes, I'm Mr. Valentine. Let's get to work."Paul welcomed Mr. Valentine into the house and they sat at the kitchen table andbegan to work.When an author introduces a new character in a short story, he or she must quicklyestablish the character's key traits. In this portion of the narrative, the author missesan opportunity to develop Mr. Valentine. Rewrite this section of the story to betterestablish Mr. Valentine as a complex character. (15 points)