A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below: X= # of red | 0 | 1 | 2 | 3 | 4 | 5 0.05 | 0.25 | 0.35 | 0.15 | 0.15 | 0.05 P(X=x) a. How many red lights should she expect to hit each day? b. What is the standard deviation?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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A commuter must pass through five traffic lights on her way to work and will have to stop at
each one that is red. She estimates the probability model for the number of red lights she hits, as
shown below:
X= # of red | 0 | 1 | 2 | 3 | 4 | 5
0.05 | 0.25 | 0.35 | 0.15 | 0.15 | 0.05
P(X=x)
a. How many red lights should she expect to hit each day?
b. What is the standard deviation?
Transcribed Image Text:A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below: X= # of red | 0 | 1 | 2 | 3 | 4 | 5 0.05 | 0.25 | 0.35 | 0.15 | 0.15 | 0.05 P(X=x) a. How many red lights should she expect to hit each day? b. What is the standard deviation?
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