   Chapter 8.5, Problem 3E ### 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 = 12, p =0.3

To determine

Whether the binomial probability distribution n=12,p=0.3 can be approximated accurately with a normal distribution or not.

Explanation

Given Information:

Two binomial distribution: n=12,p=0.3.

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=12,p=0.3, then,

Substitute p=0.3 in q=1p,

q=1p=10.3=0.7

Now find np and nq by substituting n=12,p=0

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