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Solution: Compute P (x) using the binomial probability

Chapter 7, Problem 18AYU

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QUESTION:

Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used as an approximation for the binomial distribution. If so, approximate P(x) and compare the result to the exact probability.

n = 100, p = 0.05, x = 50

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QUESTION:

Compute P(x) using the binomial probability formula. Then determine whether the normal distribution can be used as an approximation for the binomial distribution. If so, approximate P(x) and compare the result to the exact probability.

n = 100, p = 0.05, x = 50

ANSWER:

Step 1 of 2

We have n = 100, p = 0.05,  x = 50 and probability mass function of binomial distribution is given by

P(X) =

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