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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a8594f9-4fc2-4cab-aafc-bfb8b9df4e70%2F15b61cb8-f935-4823-96d4-3b3f4d7fe478%2Fnrvzc6_processed.jpeg&w=3840&q=75)
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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