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A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, 7/2) i.e X Unif(7/2) and b be a random base whose distribution is uniform (0, 1) i.e. b Unif(1). Here X and b are independent. For each X and b, construct a triangle with base b and angle X. Here Y height of the random triangle. Find the probability density function of height Y. %3D

A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, 7/2) i.e X Unif(7/2) and b be a random base whose distribution is uniform (0, 1) i.e. b Unif(1). Here X and b are independent. For each X and b, construct a triangle with base b and angle X. Here Y height of the random triangle. Find the probability density function of height Y. %3D

A First Course in Probability (10th Edition)
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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A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, 7/2) i.e X ~ is uniform (0, 1) i.e. b~ triangle with base b and angle X. Here Y height of the random triangle. Find the probability density function of height Y. Unif(T/2) and b be a random base whose distribution Unif(1). Here X and b are independent. For each X and b, construct a
Transcribed Image Text:A random right triangle can be constructed as follows. Let X be a random angle whose distribution is uniform (0, 7/2) i.e X ~ is uniform (0, 1) i.e. b~ triangle with base b and angle X. Here Y height of the random triangle. Find the probability density function of height Y. Unif(T/2) and b be a random base whose distribution Unif(1). Here X and b are independent. For each X and b, construct a
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