The discrete random variables X and Y have the following joint probability functionY01211/202/20 3/20X 2 2/20 1/20 4/2033/20 1/20 3/20 (a) Find the marginal distribution of X and the marginal distribution of Y.(b) Find the expectation of X and the variance of X.=2 given that X = 1.(c) Find the conditional probability that Y(d) Calculate the covariance of X and Y.

As per the Bartleby guildlines we have to find solve first three subparts and rest can be…

Answered: (a) Find the marginal distribution of X…

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) Find the marginal distribution of X and the marginal distribution of Y. (b) Find the expectation of X and the variance of X. (c) Find the conditional probability that Y = = 2 given that X = 1. (d) Calculate the covariance of X and Y.