A ditributor of computer oftware want to obtain ome cutomer feedback concerning it newet package. Three thouand cutomer have purchaed the package. Aume that 600 of thee cutomer are diatified with the product. Twenty cutomer are randomly ampled and quetioned about the package. Let X denote the number of diatified cutomer ampled. (a) Find the denity for X. (b) Find E[X] and Var X. (c) Set up the calculation needed to find P[X ? 3]. (d) Ue the binomial table to approximate P[X ? 3]

Answers

Answer 1

(a) The distribution of X is binomial with parameters n = 20 and p = 600/3000 = 1/5 since we are randomly selecting 20 clients without replacement and interested in the proportion of happy consumers. Given below is the probability density function for this binomial distribution.

f(x) is equal to (n pick x) * p * x * (1-p) (n-x)

Where p and 1-p are the probability of success and failure, respectively, and n pick x is the binomial coefficient, which is equal to n!/(x! * (n-x)!).

(b) The formula for the anticipated value of X, or E[X], is

E[X] = np = 20 * (1/5) = 4

Var X, the variance of X, is defined as follows:

Var X = np(1-p) = 20*1/5*4/5=3.2

Sum(i=3 to n) f for P[X >= 3] (i)

Summarizing from I = 3 to 20 and substituting the values from the density function, we obtain:

Sum(i=3 to 20) = P[X >= 3] [(20 pick I (1/5)*i*4/5*(20-i)]

(d) We must determine the value of the cumulative distribution function at x = 3, which is equivalent to the likelihood of receiving three or fewer successes out of 20 trials, in order to approximate P[X >= 3] using the binomial table. By using n = 20 and p = 1/5 to calculate the value of the cumulative distribution function at x = 3 in the binomial table, it is possible to determine this probability. P[X >= 3]'s estimated value is 0.586.

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Related Questions

In ΔRST, r = 5 cm, t = 6.8 cm and ∠T=23°. Find all possible values of ∠R, to the nearest 10th of a degree.

Answers

Answer:

[tex]\angle r=16.696[/tex]

Step-by-step explanation:

From the question we are told that:

Dimension

r = 5 cm

t = 6.8 cm

∠T=23°

Generally the equation of sine rule i is mathematically given by

[tex]\frac{sin \angle r}{R} =\frac{sin \angle t}{T}[/tex]

[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin \angle t*R}{T})[/tex]

[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin23*5}{6.8})[/tex]

[tex]\angle r=16.696[/tex]

Leo made an apple pie for dessert. He split the pie into 4 slices. What is the angle measurement of each slice?

Answers

90 degrees because it is 360 / 4

On Monday the high temperature was 80 degrees. the high for Tuesday was 60 degrees. what is the percent change in temperature from Monday or o Tuesday?
increase or decrease?
_____%

Answers

Answer: decrease of 25%

Step-by-step explanation:

Can someone please help me

Answers

Answer:

3x=9

3x*1/3=9*1/3 [reciprocal mean switching the fraction so 3/1--->1/3]

x=3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3x = 9}[/tex]

[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{9}{3}}[/tex]

[tex]\large\text{CANCEL out: } \mathsf{\dfrac{3}{3}} \large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: } \mathsf{\dfrac{9}{3}}\large\text{ because that helps us solve for x }[/tex]

[tex]\large\text{New equation: x = } \dfrac{9}{3}[/tex]

[tex]\mathsf{\dfrac{9}{3} = \bf 3}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge \bf x = 3 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Need help with 2 and 4!

Answers

Answer:

Step-by-step explanation:

A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.

Which term below correctly completes the following sentence?

If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.

A. zero

B. rational

C. negative

D. undefined

Answers

The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

We have given that,

A function has a vertical asymptote at a certain x-value, then the function------ is at that value.

We have to determine the value and fill in the blank.

What is the vertical asymptotes?

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

Therefore option D is correct.

Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

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Answer:

D. undefined

Step-by-step explanation:

Naomi and Peter's teacher receives an order of 127 books.The books are delivered in 10 full cartons and a smaller package containing 7 books.Naomi and Peter determine how many books are in each cartoon using different methods PLEASE ANWSER QUESTIONS BELOW!!!!!!! 1. What is the answer 2.In both solutions the first step is to multiply or divide by 10? 3.The second step is to multiply or divide by 10?

Answers

Answer: 1. subtract 7

2.divide 10

Step-by-step explanation:

I took the quiz

The U.S. Department of Labor reports that the average prices for a dozen eggs in the month of May for the past 11 years are as follows: $1.19, $1.21, $1.50, $1.93, $1.50, $1.52, $1.69, $1.69, $1.87, $2.00, $1.96 Round to the nearest hundredth (cent) if necessary. The mean price of eggs over this 11-year period is The median price of eggs over this 11 -year period is

Answers

Answer:

Mean price of eggs = $1.64

Median price of eggs = $1.69

Step-by-step explanation:

Mean is the average of the given data

Mean = sum of data/sample size

Sum of data = 1.19+1.21+1.50+1.93+1.50+1.52+1.69+1.69+1.87+2.00+1.96

Sum of data = $18.06

Sample size = 11

Mean price of eggs =18.06/11

Mean price of eggs = $1.64

Hence the mean price of eggs over this 11-year period is $1.64

Median is the price in the middle after rearrangement

Rearranging the data

1.19, 1.21, 1.50, 1.50, 1.52,) 1.69, (1.69, 1.87, 1.93, 1.96, 2.00

Since 1.69 falls in the middle after rearranging;

Hence the median price of eggs over this 11 -year period is $1.69

Geometry help please! Thank you. Which line segment is a altitude of VWY? The letter Y got cut off of the picture. It is supposed to be at the bottom.

Answers

Answer:

Step-by-step explanation:

(+12)-(-5)+(-3)+(+9)-(-25)-(-24) help me

Answers

Answer:

Step-by-step explanation:

12+5-3+9+25+24

23+25+24

48+24

Answer:

Step-by-step explanation:

how are you

Answer: A: L: W: H = 10: 5: 8

Step-by-step explanation: The height of the tank is 18 feet longer than the width

H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet

Hence, L = 10 * 6 = 60 feet

W = 5 * 6 = 30 feet

H = 8 * 6 = 48 feet

0.21
to
0.56
as a fully simplified ratio.

Answers

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

Answers

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

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