SOLUTION: For the binomial distribution with given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. Explain your answer. a)

Question 715222: For the binomial distribution with given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. Explain your answer.

a) n = 15 p = 0.2

A) Normal approximation is not suitable
B) Normal approximation is suitable

b) n = 53 p = 0.7

A) Normal approximation is not suitable
B) Normal approximation is suitable
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the binomial distribution with given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. Explain your answer.
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The Rule: np and nq must be greater than 5.
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a) n = 15 p = 0.2
np = 15*2/10 = 3
nq = 15*8/10 = 12
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Not suitable
====================
b) n = 53 p = 0.7
np = 53*0.7 = 37.1
nq = 53*0.3 = 15.9
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Suitable
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Cheers,
Stan H.
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