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In: Statistics and Probability

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=40, p=0.35​, X=20 P (X) = Can the normal distribution be used to approximate this​probability? Approximate​ P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. By how much do the exact and approximated probabilities​ differ? Select the correct choice below and fill in any answer boxes in your choice.

P (X) =

Can the normal distribution be used to approximate probability?​

A. No, the normal distribution cannot be used because ​np(1-​p)greater than or equals10.

B. ​No, the normal distribution cannot be used because ​np(1-p)less than10.

C.Yes, the normal distribution can be used because ​np(1-​p)greater than or equals10.

D.Yes, the normal distribution can be used because ​np(1-p)less than10.

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

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

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