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A particularly long traffic light on your morning commute
Chapter 3, Problem 103E(choose chapter or problem)
A particularly long traffic light on your morning commute is green \(20 \%\) of the time that you approach it. Assume that each morning represents an independent trial.
(a) Over 5 mornings, what is the probability that the light is green on exactly one day?
(b) Over 20 mornings, what is the probability that the light is green on exactly four days?
(c) Over 20 mornings, what is the probability that the light is green on more than four days?
Questions & Answers
QUESTION:
A particularly long traffic light on your morning commute is green \(20 \%\) of the time that you approach it. Assume that each morning represents an independent trial.
(a) Over 5 mornings, what is the probability that the light is green on exactly one day?
(b) Over 20 mornings, what is the probability that the light is green on exactly four days?
(c) Over 20 mornings, what is the probability that the light is green on more than four days?
ANSWER:
Step 1 of 4
Let us consider a random variable X it presents the number of days light is green. And an each morning represent an independent trial with p = 0.2.
Here our goal is:
a). We need to find the probability that the light is green on exactly one day, When n = 5.
b). We need to find the probability that the light is green on exactly four days, When n = 20.
c). We need to find the probability that the light is green on more than four days, When n = 20.
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