Question

# Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used...

Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If​ so, approximate​ P(X) using the normal distribution and compare the result with the exact probability.

n=6060​, p=0.20.2​, X=25

Can the normal distribution be used to approximate this​ probability?

A. ​Yes, the normal distribution can be used because ​np(1−​p) ≥ 10.

B. ​No, the normal distribution cannot be used because ​np(1−​p) < 10.

C. ​No, the normal distribution cannot be used because ​np(1−​p) ≥ 10.

D. ​Yes, the normal distribution can be used because ​np(1−​p) < 10.

Approximate​ P(X) using the normal distribution. Select the correct choice below and fill in any answer boxes in your choice.

A. ​P(X) =

​(Round to four decimal places as​ needed.)

B. The normal distribution cannot be used.

By how much do the exact and approximated probabilities​ differ? Select the correct choice below and fill in any answer boxes in your choice.

A. ___

​(Round to four decimal places as​ needed.)

B. The normal distribution cannot be used.

We are given n = 60 , p = 0.2 so q = 1- p = 1-0.2 =0.8

The normal distribution can be used if ​np(1−​p) ≥ 10.

​np(1−​p) = 60*0.2*0.8 = 9.6 < 10

B. ​No, the normal distribution cannot be used because ​np(1−​p) < 10.

P(X) = ??

B. The normal distribution cannot be used. so we can not find P(x) using normal approximation.

By how much do the exact and approximated probabilities​ differ? Select the correct choice below and fill in any answer boxes in your choice.

Since we can not use normal approximation ,we can not find the difference in the probability .

B. The normal distribution cannot be used.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.