You have two dice, one with three sides labeled 0,1,2 and one with 4 sides, labeled 0,1,2,3. Let X1 be the outcome of rolling the first die, and X2 the outcome of rolling the second. The rolls are independent. (a) What is the joint p.m.f. of (X1, X2)? (b) Let Y1=X1·X2 and Y2= max{X1, X2}. Make a table for the joint p.m.f. of (Y1, Y2). (c) AreY1, Y2 independent?

You have two dice, one with three sides labeled 0,1,2 and one with 4 sides, labeled 0,1,2,3. Let X1 be the outcome of rolling the first die, and X2 the outcome of rolling the second. The rolls are independent. (a) What is the joint p.m.f. of (X1, X2)? (b) Let Y1=X1·X2 and Y2= max{X1, X2}. Make a table for the joint p.m.f. of (Y1, Y2). (c) AreY1, Y2 independent?

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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