6. The moment generating function for a binomial-distributed random variable with parameters n and p is given by, M(t) =
Posted: Thu May 12, 2022 7:32 am
6. The moment generating function for a binomial-distributed
random variable with parameters n and p is given by, M(t) = (1
− p + pe^(t))^(n). Suppose that X1 has a binomial distribution
with parameters n1 and p and X2 has a binomial distribution with
parameters n2 and p.
(a) Find the moment generating function for Y = X1 + X2.
(b) What distribution does Y have? Explain your answer.
random variable with parameters n and p is given by, M(t) = (1
− p + pe^(t))^(n). Suppose that X1 has a binomial distribution
with parameters n1 and p and X2 has a binomial distribution with
parameters n2 and p.
(a) Find the moment generating function for Y = X1 + X2.
(b) What distribution does Y have? Explain your answer.