If X is uniformly distributed over (a, b), a < b, what is the probability density function of Y = cX + d for any constants c and d. Detailed explanation would be of great help

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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If X is uniformly distributed over (a, b), a < b, what is the probability density function of Y = cX + d for any constants c and d. Detailed explanation would be of great help
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