Question

The random variable N has the following characteristics:

(i) with probability q, N has a binomial distribution with p = 0.5 and n = 2;

(ii) with probability 1 − q, N has a binomial distribution with p = 0.5 and n = 4.

Which is a correct expression for P(N = 2)?

A. 0.125q 2 B. 0.375 + 0.125q C. 0.375 + 0.125q 2 D. 0.375 − 0.125q 2 E. 0.375 − 0.125q

The required result should be number E.

Answer 1

TOPIC:Binomial distribution and the theorem of total probability.