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Suppose that the joint density function of the random variables X and Y is f(x.y)=k(1+2y), if 1

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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Question

Suppose that the joint density function of the random variables X and Y is
f(x.y)=k(1+2y), if 1<x<11 and 0<y<1, and
f(x.y)=0, otherwise.
Show that the marginal distribution of X is
g(x)=c, if 1<x<11, and
g(x)=0 otherwise.
Enter the value of c.
Hint: Of course, first, you need to find the value of k.
Round your answer to a number with two decimal digits after the decimal point. For example if your answer is 1/40, which is equal to 0.025, then you should enter
0.03.

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