question_answer 1)

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denotes the larger of the two numbers obtained. Find E(X). 

Answer:

First 6 positive integers are 1, ,2 3, 4, 5, 6, 1 is the smallest positive integer       X = 2, 3, 4, 5, 6                   P(X = 3) = P [(number less than 3, 3) or (3, number less than 3)]             P(X = 4) = P ((number < 4, 4) or (4, number < 4))             P(X = 5) =             Probability distribution             E(X) = P(X) =