Help with steps to solve. Thank you. Write the symbol. number, or word that best

Question

Help with steps to solve. Thank you. Write the symbol. number, or word that best answer* the question. Provide numerical answer as exact values (fractions are okay), or round to 3 significant decimal places. In a recent survey, 83% of the 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. Decide whether you can use the normal distribution to approximate the binomial distribution. If so. find the mean and standard deviation. If not. explain why. Choose the one alternative that best completes the statement or answers the question

Explanation / Answer

For using normal distribution to approximate the binomials, check Success/Failure condition: np=16*0.83=13.28>=10 and nq=16*0.17=2.72<10, where n is the number of trials and p is the probability of success, and q, the probability of failures. Since, nq is not atleast 10, normal distribution to approximate binomial cannot be done.

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