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Chapter 6: Q. 90 (page 405)

90. Normal approximation To use a Normal distribution to approximate binomial probabilities, why do we require that both np and n(1鈭�p) be at least 10?

Short Answer

Expert verified

Both npand n(1-p) have different shapes, if the provided condition is not valid.

Step by step solution

01

Given information

Determine the Normal distribution to approximate binomial probabilities, does require for both npand n(1鈭�p)be at least 10.

02

Explanation

If both np and n(1-p) are fewer than 10, the binomial distribution will not have the same approximate shape as the normal distribution. As a result, the binomial distribution cannot be approximated using the normal distribution.

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