Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)

Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)

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

a. Find the joint probability mass function, P(x,y)

b. Find the X and Y marginal probability mass functions

c. Find E(X), E(Y), and E(XY)

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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