2. Consider two random variables X and Y with joint probability mass function given in the tablebelow:X = 1X = 2Y = 21121-614X = 3a. Find P(X ≤ 2, Y ≤ 4).b. Find the marginal PMFs of X and Y.c. Find P(Y = 2|X = 1)d. Are X and Y independent?Y = 412411218Y = 512418112

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. Consider two random variables X and Y with joint probability mass function given in the table below: X = 1 X = 2 Y = 2 1 12 1 - 6 1 4 X = 3 a. Find P(X ≤ 2,Y ≤ 4). b. Find the marginal PMFs of X and Y. c. Find P(Y=2|X = 1) Y = 4 1 24 1 12 118 Y = 5 1 24 1 - 100 - 8 1 12