I need help with this question number 11 and its parts please! For #11, decide w

Question

I need help with this question number 11 and its parts please! For #11, decide whether you can use the normal distribution to approximate the binomial distribution. If so, state why and find the mean and standard deviation. If not, explain why. 11.a) In a recent survey, 83% ofthe community favored building a police substation in their neighborhood. You randomly select 16 citizens and ask each if he or she thinks the community needs a police substation. b.) A recent survey found that 72% of all adults over 50 wear glasses for driving. You randomly select 33 adults over 50, and ask if he or she wears glasses. c.) According to government data, the probability than an adult was never married is 19%. You randomly select 49 adults and ask if he or she was ever married.

Explanation / Answer

Result:

a).

n=16, p=0.83

np=13.28, nq=2.72

np > 10 and nq < 10

since nq < 10, normal approximation not appropriate.

b).

n=33 p=0.72

np=23.76, nq=9.24

np > 10 and nq < 10

since nq < 10, normal approximation not appropriate

c).

n=49, p=0.19

np=9.31, nq=39.69

np < 10 and nq > 10

since np < 10, normal approximation not appropriate

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