Maths JNU

Posted by Chandrani Sarma on Apr 04, 2010; 3:26pm
URL: http://discussion-forum.276.s1.nabble.com/Maths-JNU-tp4850609.html

A biased dice is rolled independently three times with the probability of an even number appearing being twice that of an odd number. We define two random variables Xi and Y.
Xi = 1, if the i th roll gives an odd number
   =  0, otherwise

Y = X1+ X2+ X3

(a) Find the probability distribution of Xi
(b) Find the probability distribution of Y
(c) What are the mean and variance of Y?