In a meeting 70 % of the members favour and 30 % oppose a certain proposal. A member is selected at random. We take X =0 if he opposed the proposal and we take X =1 , if the member is in favour. Then variance of X is

Step-by-step solution

Random variable definition. Let X represent the outcome of selecting a member, where X = 0 indicates opposition and X = 1 indicates support for the proposal. Given probabilities: P(X = 0) = 0.3 , P(X = 1) = 0.7 . X follows a Bernoulli distribution with parameter p = 0.7 . Variance computation. For a Bernoulli random variable, the variance is Var (X) = p(1 - p) = 0.7 0.3 = 0.21 . 0.21 expressed as a fraction is 21 100 , matching option C. Final answer: C