If X and Y are independent, then what is the probability of the event Y > 4X?

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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Let X be a (real-valued) random variable uniformly distributed in the interval [0, 1], and let Y be a (real-valued)
random variable uniformly distributed in the interval [0, 2].
If X and Y are independent, then what is the probability of the event Y > 4X?
(a) 1/4
(b) 1/3
(c) 1/2
(d) 2/3
(e) 3/4
(f) None of the above
Transcribed Image Text:Let X be a (real-valued) random variable uniformly distributed in the interval [0, 1], and let Y be a (real-valued) random variable uniformly distributed in the interval [0, 2]. If X and Y are independent, then what is the probability of the event Y > 4X? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3 (e) 3/4 (f) None of the above
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