A commuter encounters four traffic lights each day on her way to work. Let X represent the number of these that are red lights. The probability mass function of X is as follows. 0 1 2 3 4 P(X = x) 0.1 0.3 0.3 0.2 0.1 What is the probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A commuter encounters four traffic lights each day on her way to work. Let X represent the
number of these that are red lights. The probability mass function of X is as
follows.
0 1 2 3 4
P(X = x) 0.1 0.3 0.3 0.2 0.1
What is the probability that in a period of 100 days, the average number of red lights
encountered is more than
2 per day?
Transcribed Image Text:A commuter encounters four traffic lights each day on her way to work. Let X represent the number of these that are red lights. The probability mass function of X is as follows. 0 1 2 3 4 P(X = x) 0.1 0.3 0.3 0.2 0.1 What is the probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day?
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