SOLUTION: Determine if the normal distribution can be used to approximate the binomial distribution with a sample size of n=5 and probability of p=0.3? A)Yes B)NO

Question 1103988: Determine if the normal distribution can be used to approximate the binomial distribution with a sample size of n=5 and probability of p=0.3?
A)Yes
B)NO
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order for the normal approximation to work, the following conditions must hold:

Note: Some books use 10 in place of 5

Compute both n*p and n*(1-p)
n*p = 5*0.3 = 1.5
n*(1-p) = 5*(1-0.3) = 5*0.7 = 3.5

So both and are false. The same applies to and as well.

Therefore the normal approximation cannot be used.
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