Question

Consider the probability experiment of a sequence of independent trials (number of trials n=11), each trial is the rolling of a pair of 6-sided dice. suppose a random event A is the sum of the roll is an odd number and a random variable represents the number of successes that occur in the n trials. Find the probability of the success for a single trial, find the probability mass function Pn(m), m=1,n, find the mathematical expectation and variance of the random variable