A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U. S. adults found that 37% have been to court. You randomly select 30 U. S. adults and ask them whether they have been to court.

Since both and , you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

Using the normal distribution to approximate the binomial distribution.

This is possible if:

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that

Test if it is possible:

Since both and , you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

The mean is of 11.1 and the standard deviation is of 2.64.

h

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40