a binomial experiment with probability of success =p0.63 and =n6 trials is conducted. what is the probability that the experiment results in fewer than 4 successes?
Answers
The probability that the experiment results in fewer than 4 successes is 0.444, or approximately 44.4%.
We can solve this problem using the binomial distribution, which gives the probability of getting exactly "k" successes in "n" independent trials, each with a probability of success "p". The probability of getting fewer than "k" successes is the cumulative probability up to and including "k-1" successes.
In this case, we have a binomial experiment with probability of success p=0.63 and n=6 trials. We want to find the probability of getting fewer than 4 successes, which means we want to find the probability of getting 0, 1, 2, or 3 successes:
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where "n choose k" is the binomial coefficient, equal to n!/(k!(n-k)!), we can calculate the probability of each outcome:
P(X = 0) = (6 choose 0) * 0.63^0 * 0.37^6 = 0.004
P(X = 1) = (6 choose 1) * 0.63^1 * 0.37^5 = 0.034
P(X = 2) = (6 choose 2) * 0.63^2 * 0.37^4 = 0.131
P(X = 3) = (6 choose 3) * 0.63^3 * 0.37^3 = 0.275
Therefore, the probability of getting fewer than 4 successes is:
P(X < 4) = 0.004 + 0.034 + 0.131 + 0.275 = 0.444
So the probability that the experiment results in fewer than 4 successes is 0.444, or approximately 44.4%.
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Related Questions
I WILL GIVE YOU 40 POINTS PLEASE HELP
(2)/(x^2-9) - (3x)/( x^2-5x+6) please show work
Answers
Answer:
\(\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}\)
Step-by-step explanation:
\(\frac{2}{x^2-9}-\frac{3x}{x^2-5x+6}\)
Factor x²-9 and x²-5x+6.
\(\frac{2}{\left(x+3\right)\left(x-3\right)}-\frac{3x}{\left(x-2\right)\left(x-3\right)}\)
Least common multiple of (x+3), (x-3), (x-2), and (x-3) is (x+3), (x-3), and (x-2).
Adjust the fractions based on LCM.
\(\frac{2\left(x-2\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}-\frac{3x\left(x+3\right)}{\left(x-2\right)\left(x-3\right)\left(x+3\right)}\)
Subtract the fractions since denominators are equal.
\(\frac{2\left(x-2\right)-3x\left(x+3\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}\)
Expand.
\(\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}\)
The fraction can be in factored form.
\(\frac{-\left(x+1\right)\left(3x+4\right)}{\left(x-2\right)\left(x+3\right)\left(x-3\right)}\)
Answer:
\(-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}\)
Step-by-step explanation:
STEP 1: Simplify each term.
\(\frac{2}{(x+3)(x-3)}-\frac{3x}{(x-3)(x-2)}\)
\(\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}\)
\(\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}*\frac{x+3}{x+3}\)
STEP 2: Write each expression with a common denominator of (x+3)(x−3)(x−2), by multiplying each by an appropriate factor of 1.
\(\frac{2(x-2)-3x(x+3)}{(x+3)(x-2)(x-3)}\)
STEP 3: Simplify the numerator.
\(\frac{(-x-1)(3x+4)}{(x+3)(x-2)(x-3)}\)
STEP 4: Simplify with factoring out.
\(-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}\)
So what do I do?? Like I can graph but there only one number
Answers
Answer:
The fact that there is only one number is okay, just continue the way you usually would.
For example find two points:
when x=0: y=-3(0), y=0
when x=2: y=-3(2), y=-6
(0,0) and (2,-6) are two points on the line. Connect them and extend the line.
help me please i really need it
Answers
Answer:
m∠2=93, m∠3=87,m∠4=87
Step-by-step explanation:
A boat travels 110 feet in 5 seconds. What is the boat's speed in miles per hour?
Answers
Answer:
.25 mph
Step-by-step explanation:
1320 feet per hour , 1/4 mph
Answer: 15 miles per hour
Step-by-step explanation:
110 feet in 5s
220 in 10 sec
1320 in 1 min
79,200 in 1 hour
79,200 feet= 15 miles
15 miles in 1 hour is 15mph
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answers
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
After testing 7,200 transistors, an inspector found that 1.5% were defective. How many of the transistors were defective?
Answers
Answer: 108 transistors were defective
The easiest way to do this problem would be to use multiplication
Take 7,200 transistors and multiply it by 0.015
7,200 x 0.015
108
How do I solve this question?
Answers
Answer:
x = 7
Step-by-step explanation:
We can identify the figure formed by 2 radii, (6x - 3), and (3x + 18) as a kite because it is a quadrilateral symmetric around a center line.
The radii sides are congruent, and therefore, the other two sides must be congruent as well. So, we can solve for x by equation (6x - 3) and (3x + 18).
\(6x - 3= 3x + 18\)
↓ subtracting 3x from both sides
\(3x - 3= 18\)
↓ adding 3 to both sides
\(3x = 18 + 3\)
\(3x = 21\)
↓ dividing both sides by 3
\(\boxed{x = 7}\)
Helppp asappp!!! The picture is the question and the options
Answers
Answer:
bottom left
Step-by-step explanation:
2 -2
1 -1
0 0
1 1
2 2
Answer:
The last one
Step-by-step explanation:
There can not be two of a certain number in the x-intercept
Please help me with edge question .
Answers
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
plsss helpp meeee!!!!!!!
Answers
Answer:
is that geometry
Step-by-step explanation:
PLZ HELP!! I will give points!
Answers
Answer:
a is -2,1 b is -3,3 c is -1,3
Step-by-step explanation:
the food marketing institute shows that of households spend more than per week on groceries. assume the population proportion is and a simple random sample of households will be selected from the population. use the z-table.
Answers
a) The sampling distribution of p can be approximated as a normal distribution with mean μp = .17 and standard deviation σp = .0203.
b) The probability that the sample proportion will be within ±.02 of the population proportion is 0.6778
In statistics, sampling distribution plays a crucial role in estimating the parameters of a population. The sampling distribution helps us to understand the probability distribution of sample statistics that we obtain by taking random samples from a population.
a) In this case, we are interested in the proportion of households that spend more than $100 per week on groceries, denoted by p. We know that the population proportion is p = .17, and a sample of 800 households will be selected from the population.
The central limit theorem states that if the sample size is large enough (in this case, n = 800), then the sampling distribution of p will be approximately normal with a mean of p and a standard deviation of:
σp = √(p(1-p)/n)
where p is the population proportion, and n is the sample size. Plugging in the values, we get:
σp = √(.17(1-.17)/800) = .0203
b) Now, we want to find the probability that the sample proportion will be within ±.02 of the population proportion. That is, we want to find P(.15 ≤ p ≤ .19).
To calculate this probability, we need to standardize the distribution using the z-score formula:
z = (p - μp) / σp
Plugging in the values, we get:
z = (.15 - .17) / .0203 = -0.9867
z = (.19 - .17) / .0203 = 0.9867
Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:
P(z ≤ -0.9867) = 0.1611
P(z ≤ 0.9867) = 0.8389
Therefore, the probability that the sample proportion will be within ±.02 of the population proportion is:
P(.15 ≤ p ≤ .19) = P(z ≤ 0.9867) - P(z ≤ -0.9867) = 0.8389 - 0.1611 = 0.6778
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Complete Question:
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.
a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries.
b. What is the probability that the sample proportion will be within ±.02 of the population proportion?
Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Answers
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Please Help Answer :(
Answers
Answer:
8 ^ 20
Step-by-step explanation:
(8 ^ 10) ^2
We know that a^ b^ c = a^ ( b*c)
8 ^ (10*2)
8 ^ 20
If ΔJKL~ΔMKN, find the value of x.
Answers
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
\(\frac{KL}{KN}\) = \(\frac{JL}{MN}\) , substitute values
\(\frac{32}{12}\) = \(\frac{3x-2}{x+1}\) ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
simplify... 3yx-6xy.............
Answers
Answer:
= 3yx-6xy
= 3xy-6xy
= -3xy
is the answer.
Answer:
3yx-6xy
\( =- 3yx\)
Step-by-step explanation:
Thanks!!!!!
Solve the inequality. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
Answers
Answer:
b ≤ -200
( - ∞, -200]
Explanation:
We have to solve
\(\frac{b}{-10}\ge20\)for b.
Multiplying both sides by -10 reverses the direction of the inequality and gives
\(b\le20\times(-10)\)which simplifies to give
\(\boxed{b\le-200.}\)We plot the above on the number line.
The above plot tells us that all values of b less than or equal to -200 satisfies the inequality.
Using the interval notation, we write the interval as
\((-\infty,-200\rbrack\)Where parenthesis tells us that ∞ itself is not included in the interval, the bracket '[' tells us that -200 is included in the interval.
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
Answers
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
For how many miles is the cost the same at both companies
Answers
Answer:
You have not put any answers!
Step-by-step explanation:
50 fewer than number y
Answers
Answer:
y - 50
Step-by-step explanation:
Not sure if that's what you are looking for, but 50 less than a number is the number minus 50
True or False? A circle could be circumscribed about the quadrilateral below.
Answers
Answer:
false
Step-by-step explanation:
Because the length of the sides are not the same
sqrt 8 + sqrt 32 - sqrt 2, find the exact value of the expression
i got 6 sqrt 2, but it was wrong.
Answers
Answer:sqrt 38
Step-by-step explanation:32+8-2 is 38
Solve each inequality. The variable should be on the left-hand side in your solution.
3(x+4)≤ 3/2x /12
Answers
Answer:
x≤ −96 /23
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 1/8x from both sides.
Step 3: Subtract 12 from both sides.
Step 4: Multiply both sides by 8/23.
please help me its 3 am and i am so tired that i have no energy left and im seriously trying to get done with 8 assignments and then i have to get ready for work by 6, thank you so much <3 NO LINKS OR FILES OR I WILL REPORT
Answers
Answer:
4 (2x + 3)^2 this is the answer I guess
Answer:
try 6
Step-by-step explanation:
PLEASE HURRY IM BEING TIMED
What is no-fault insurance?
a.
No-fault insurance provides full coverage for the entire car.
b.
No-fault insurance covers only damages that you did not cause.
c.
No-fault insurance is the default insurance that all drivers receive if they do not wish to purchase a special policy.
d.
No-fault insurance covers medical expenses incurred after an accident, regardless of which driver caused the crash.
Answers
Answer:
In its broadest sense, no-fault insurance is any type of insurance contract under which the insured party is indemnified by their own insurance company for losses, regardless of the source of the cause of loss. In this sense, it is no different from first-party coverage.
Step-by-step explanation:
Choose the ordered pair that is a solution of the inequality y ≤ −3x − 5.
Answers
Answer:
(b) (-1, -3)
Step-by-step explanation:
You want an ordered pair that is a solution to the inequality y ≤ -3x -5.
GraphIt can be convenient to plot the points on a graph of the inequality. When we do that, as in the first attachment, we see that the point in the solution space is ...
(b) (-1, -3)
__
Additional comment
The boundary line for the solution space is a line with negative slope through -5 on the y-axis. This means that points above -5 on the y-axis and any points in the first quadrant will not be in the solution space. Only one point remains after those are eliminated.
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Please hurry I will mark you brainliest
View the following image and create a story that MATCHES the graph. Create your own scales and values to incorporate in the story.
Answers
Step-by-step explanation:
A body at rest accelerates to 2.5 meters in 1 second, it then maintains a constant speed for 2 seconds and accelerate 2.5 meters in 2 seconds. It then maintains a constant speed for 2 seconds and finally decelerates for the next eight seconds.
scale = 1cm : 1 unit.
distance axis : 1 to 7.5 meters
Time axis : 1 to 15 seconds
The numbers 1 through 14 (inclusive) are written on the chalkboard. Ms. Q. took the product of 13 of the 14 numbers. How many different products could she get?
Answers
Answer:
7
Step-by-step explanation:
answer is 7
What's the product of 72 and 56
Answers
Answer: 4032
Step-by-step explanation:
72x56=4032
Answer:
The product of 72 and 56 is 4,032.
Step-by-step explanation:
"Product" means multiplication, so you need to multiply 72 by 56. I'm soo sorry if that's wrong :(
What number is 20% of 40?
Answers
Answer:
It would be 8
Step-by-step explanation:
20% of 40 is 8
Answer:
8
Step-by-step explanation:
this is correct, i think, sorry if it's not.
ty :9