A local county has an unemployment rate of 5.8%. A random sample of 15 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 2 people in the sample are unemployed. b) Find the probability that there are fewer than 3 people in the sample who are unemployed. c) Find the probability that there are more than 2 people in the sample who are unemployed.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A local county has an unemployment rate of 5.8%. A random sample of 15 employable
people are picked at random from the county and are asked if they are employed. The
distribution is a binomial. Round answers to 4 decimal places.
a) Find the probability that exactly 2 people in the sample are unemployed.
b) Find the probability that there are fewer than 3 people in the sample who are
unemployed.
c) Find the probability that there are more than 2 people in the sample who are
unempl
d) Find the probability that there are at most 3 people in the sample who are
unemployed.
Transcribed Image Text:A local county has an unemployment rate of 5.8%. A random sample of 15 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 2 people in the sample are unemployed. b) Find the probability that there are fewer than 3 people in the sample who are unemployed. c) Find the probability that there are more than 2 people in the sample who are unempl d) Find the probability that there are at most 3 people in the sample who are unemployed.
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