Question

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=50​, p=0.50​, and x=17 For n=50​, p=0.5​, and X=17​, use the binomial probability formula to find​ P(X).

Q: By how much do the exact and approximated probabilities​ differ?

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

B. The normal distribution cannot be used.

Answer 1

This is a binomial distribution question with
n = 50
p = 0.5
q = 1 - p = 0.5
where


This binomial distribution can be approximated as Normal distribution since
np > 5 and nq > 5
Since we know that


​​​​​​​
Approximation and exact probability are almost equal


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