Exercise 3.1 1. Two balls are drawn at random without replacement from an urn containing 4Red and 3Black balls. Let Y be

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Exercise 3 1 1 Two Balls Are Drawn At Random Without Replacement From An Urn Containing 4red And 3black Balls Let Y Be 1 (66.66 KiB) Viewed 83 times

Exercise 3.1 1. Two balls are drawn at random without replacement from an urn containing 4Red and 3Black balls. Let Y be the number of red balls. i Find the probability distribution of Y. ii Make a histogram of the probability distribution and describe what you see. iii Find the probability that at most one red ball is obtained. 2. 2 fair dice are tossed. If X is the sum of the numbers appearing when the two are tossed, find the probability distribution of X. 3. A discrete random variable X has the probability distribution given as Sc(x2+4) x=0,1,2, 3 f(x) = 0 elsewhere i Find the value of c. ii The probability P(0<x< 2). iii The cummulative distribution function F(x).