Exercise 3.1 1. Two balls are drawn at random without replacement from an urn containing 4Red and 3Black balls. Let Y be
Posted: Fri Dec 24, 2021 9:59 am
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).