Problem 2E

Let X1 and X2 be independent random variables with respective binomial distributions b(3, 1/2) and b(5, 1/2). Determine

(a) P(X1 = 2,X2 = 4).

(b) P(X1 + X2 = 7).

Problem 2E

Let and be independent random variables with respective binomial distributions b(3, 1/2) and b(5, 1/2). Determine

(a) P( = 2, = 4).

(b) P( + = 7).

Step by Step Solution

Step 1 of 3

It is given that X1 and X2 are independent events with binomial distribution b (3, 1/2) and b (5, 1/2).

Apply the binomial distribution, to find the probability.

(a) The probability of

Substitute the values of probability of X equals 2 and 4.

Thus, the probability of, 0.05859.