SOLUTION: In a recent survey, 90 percent of the community favored building a police substation in the neighborhood. You randomly select 16 citizens and ask each if he or she thinks the commu

Question 869861: In a recent survey, 90 percent of the community favored building a police substation in the neighborhood. You randomly select 16 citizens and ask each if he or she thinks the community needs a police substation. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and the standard deviation. If not, explain why.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

Note: We can use the normal distribution as a close approximation to the

 binomial distribution whenever np ≥ 5 and nq ≥ 5.

 nq = 16(.10) = 1.60

No, we cannot use the normal distribution to approximate this binomial distribution 

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