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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Which of the following binomial probability distributions can be approximated accurately with a normal distribution?

(a) n = 22, p = 0.09 (b) n = 22, p = 0.3

(a)

To determine

Weather the binomial probability distribution n=22,p=0.09 is approximated accurate with a normal distribution or not.

Explanation

Given Information:

The binomial distributions are n=22,p=0.09.

Explanation:

For a binomial distribution if, np5 and nq5 then the binomial distribution can be approximated accurately, where n the number of trials, p is the probability of success, and q is the probability of failure.

Consider the binomial distribution n=22,p=0.09, then,

q=1pq=10.09q=0.91

Now find np and nq by substituting n=22,p=0.09 and q=0

(b)

To determine

Weather the binomial probability distribution n=22,p=0.3 is approximated accurate with a normal distribution or not.

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