4.75. Let the i.i.d. random variables X, and X, have the same p.d.f. (x) = x= 1, 2, 3, 4, 5, 6, zero elsewhere. Find the p.d.f. of Y = X, + X2. Note, under appropriate assumptions, that Y may be interpreted as the sum of the spots that appear when two dice are cast. %3D

4.75. Let the i.i.d. random variables X, and X, have the same p.d.f. (x) = x= 1, 2, 3, 4, 5, 6, zero elsewhere. Find the p.d.f. of Y = X, + X2. Note, under appropriate assumptions, that Y may be interpreted as the sum of the spots that appear when two dice are cast. %3D

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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4.75. Let the i.i.d. random variables X, and X, have the same p.d.f. f(x) =
x= 1,2, 3, 4, 5, 6, zero elsewhere. Find the p.d.f. of Y = X, + X2. Note,
under appropriate assumptions, that Y may be interpreted as the sum of
the spots that appear when two dice are cast.

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