A public survey reported that 5% of the people now in the community are afraid of walking alone in the evening. If a random sample of 20 persons is selected, find the probability that: (a) there are exactly 5 persons in the sample who are afraid of walking alone in the evening; (b) there are at most 4 persons in the sample who are afraid of walking along in the evening; and (c) there are at least 4 persons in the sample who are afraid of walking along in the evening.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. A public survey reported that 5% of the people now in the community are afraid of walking alone in the evening. If a random sample of 20 persons is selected, find the probability that: (a) there are exactly 5 persons in the sample who are afraid of walking alone in the evening; (b) there are at most 4 persons in the sample who are afraid of walking along in the evening; and (c) there are at least 4 persons in the sample who are afraid of walking along in the evening.
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