Question

If a random variable X follows the Binomial distribution B (33, p) such that 3P(X = 0) = P(X = 1), then the value of \(\frac{P(X=15)}{P(X = 18)}-\frac{P(X = 16)}{P(X = 17)}\) is equal to

(A) 1320

(B) 1088

(C) 120/1331

(D) 1088/1089

Answer 1

Correct option is (A) 1320

n = 33, let probability of success is p and q = 1 – p

3p(x = 0) = p(x = 1)

 = (11)³ - 11

 = 1320