Use the following information to answer the question. A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 200,000.
-Suppose the wedding planner assumes that only 3% of the guests will be pollotarian so she orders 9 pollotarian meals. What is the approximate probability that she will have too many pollotarian meals? Round to the nearest thousandth.
A)0.319
B)0.251
C)0.681
D)0.477

Question

Quizplus · Accepted Answer

The probability that more than 9 out of 300 guests are pollotarian can be calculated using a binomial distribution with n=300 and p=0.035. The probability of having 9 or fewer pollotarian meals is approximately 0.681, so the probability of having more than 9 is 1 - 0.681 = 0.319.

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