3.1.7A flu virus hits a company employing 180 people. Independent of the other employees, there is a probability of p = 0.35 that each person needs to take sick leave. What are the expectation and variance of the proportion of the workforce who need to take sick leave? In general, what value of the sick rate p produces the largest variance for this proportion?

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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3.1.7A flu virus hits a company employing 180 people. Independent of the
other employees, there is a probability of p = 0.35 that each person
needs to take sick leave. What are the expectation and variance of the
proportion of the workforce who need to take sick leave? In general,
what value of the sick rate p produces the largest variance for this
proportion?
Transcribed Image Text:3.1.7A flu virus hits a company employing 180 people. Independent of the other employees, there is a probability of p = 0.35 that each person needs to take sick leave. What are the expectation and variance of the proportion of the workforce who need to take sick leave? In general, what value of the sick rate p produces the largest variance for this proportion?
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