2/3 10. The amount of time Y (in minutes) that a commuter train is late is a conu.wu- random variable with probability density 25 – f (y)={500 - y²) if -5< y<5 elsewhere [Note: A negative value of Y means that the train is early.] a) Find the value of c for this probability distribution. b) What is the probability that the train is no more than 3 minutes late?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2/3
10. The amount of time Y (in minutes) that a commuter train is late is a conu.wu-
random variable with probability density
25 –
f (y)={500
- y²) if -5< y<5
elsewhere
[Note: A negative value of Y means that the train is early.]
a) Find the value of c for this probability distribution.
b) What is the probability that the train is no more than 3 minutes late?
Transcribed Image Text:2/3 10. The amount of time Y (in minutes) that a commuter train is late is a conu.wu- random variable with probability density 25 – f (y)={500 - y²) if -5< y<5 elsewhere [Note: A negative value of Y means that the train is early.] a) Find the value of c for this probability distribution. b) What is the probability that the train is no more than 3 minutes late?
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