   Chapter 8, Problem 33RE ### 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

# For the binomial distributions in Problems 32 and 33, will the normal distribution be a good approximation if 33.   n  = 15,  p  = 0 .4?

To determine

To calculate: For the binomial probability distribution will the normal distribution be a good approximation if n=15,p=0.4.

Explanation

Formula used:

For a binomial distribution if,

np5 And nq5 then the binomial distribution can be approximated accurately with the normal distribution. Where n the number of trials, p is the probability of success, and q is the probability of failure.

q=1p

Calculation:

Consider the binomial distribution n=15,p=0.4, then

q=1pq=10.4q=0.6

For a binomial distribution if np5 And nq5 then the binomial distribution can be approximated accurately with the normal distribution, therefore,

np=15(0

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