   Chapter 8.5, Problem 4E ### Mathematical Applications for the ...

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

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

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

# In Problems 1-4, indicate which of the binomial distributions can be approximated by a normal distribution. n = 200 , p = 0.005

To determine

Whether the binomial probability distribution n=200,p=0.005 can be approximated accurately with a normal distribution or not.

Explanation

Given Information:

Two binomial distribution: n=200,p=0.005.

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 provided binomial distribution n=200,p=0.005, then,

Substitute p=0.005 in q=1p,

q=1pq=10.005q=0.995

Now find np and nq by substituting n=200,p=0

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