Use the following information to answer the question. A pollotarian is a person who eats poultry but no red meat. Awedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is tobe held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population ofabout 200,000.
-Suppose the wedding planner assumes that only 3% of the guests will be pollotarian so she orders 9pollotarian meals. What is the approximate probability that she will havetoo manypollotarianmeals? 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 the binomial distribution with n=300 and p=0.035. The probability of having 9 or fewer pollotarian guests is approximately 0.681, so the probability of having more than 9 is 1 - 0.681 = 0.319.

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