Exercise 1. The joint probability distribution of two discrete random variables is given as Sexy x= 1,2,3, y = 1,2, 3 f(

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Exercise 1 The Joint Probability Distribution Of Two Discrete Random Variables Is Given As Sexy X 1 2 3 Y 1 2 3 F 1 (75.59 KiB) Viewed 119 times

Exercise 1. The joint probability distribution of two discrete random variables is given as Sexy x= 1,2,3, y = 1,2, 3 f(x,y) 10 elsewhere i Find the value of c. ii The marginal distribution of X and Y iii The probability P(X<2,Y > 2). iv The conditional distribution of x given y. 2. Suppose that 3 batteries are randomly chosen from a group of 3 new, 4 used but still working, and 5 defective batteries. If we let X denote the number of new and Y denote used but still working batteries that are chosen then, i Find the joint probability mass function of X and Y. ii The marginal distribution of X and Y iii The probability that the sum of the number of batteries will be at most 2. iv The probability that two new batteries will be selected given that one used but still working battery has been selected.