47.5% of children say that chocolate chip cookie is their favorite kind of cookie. if you randomly select 4 children find the probability that: a) exactly 2 say that chocolate chip cookie is their favorite. c) at least one of the 4 say that chocolate chip cookie is their favorite. d) find the mean and standard deviation for this sample.

a) 0.3731

b) 0.9241

c) Mean = 1.9

Standard Deviation = 0.9987

Step-by-step explanation:

We are given the following information:

P(chocolate chip cookie) = 47.5% = 0.475

Then the number of children follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 4

a) x = 2

We have to evaluate:

b) x = 1

We have to evaluate

c) Mean and standard deviation of distribution

probability for j is 1/4

while

a is 1/6

0.50 , 0.75

step-by-step explanation: