Question

For the following conditions, determine if it is appropriate to use the normal distribution to approximate...

For the following conditions, determine if it is appropriate to use the normal distribution
to approximate a binomial distribution with n = 42 and p = 0.3. Explain you answer.

Homework Answers

Answer #1

Solution:

Given that,

P = 0.3

1 - P = 0.7

n = 42

Here, BIN ( n , P ) that is , BIN (42 , 0.3)

then,

n*p = 12.6 > 5

n(1- P) = 29.4 > 5

According to normal approximation binomial,

X Normal

Mean = = n*P = 12.6

Standard deviation = =n*p*(1-p) = 8.82

Then

N ( , )

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