Public Opinion reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is selected, find these probabilities by using the binomial distribution. a) There are exactly 5 people in the sample who are afraid of being alone at night. b) There are at most 3 people in the sample who are afraid of being alone at night.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Public Opinion reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of
20 Americans is selected, find these probabilities by using the binomial distribution.
a) There are exactly 5 people in the sample who are afraid of being alone at night.

b) There are at most 3 people in the sample who are afraid of being alone at night.

 

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