Let x be a bernoulli distribution that is 1 with probability 1 3 and 0 otherwise. let y be the result of a fair die roll. given that random variables x and y are independent, describe the probability density function (pdf) of z = y · (1 + x). (b) let random variable d indicate the value rolled by a particular unfair 10-sided die: the possible rolls are {1, 2, . . , 10} as usual, but for integers 1 ≤ n ≤ 9, pdfd(n) = 2( 1 3 ) n . describe the cdf of d, and compute the probability of rolling a 10.