MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
A bag contains 5 white and 4 black balls. Two balls are drawn successively without replacement.
Let the random variable X denote the number of white balls drawn in the two draws.
(i) List all possible values of X and obtain the complete probability distribution of X.
(ii) Find the expectation E(X).
(iii) Given that the first ball drawn is white, determine the expected value of X under this condition.