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

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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