(3) We throw a fair dice. Let X denote the absolute value of the difference between the smallest odd prime number on the

[answerhappygod]

3 We Throw A Fair Dice Let X Denote The Absolute Value Of The Difference Between The Smallest Odd Prime Number On The 1 (23.09 KiB) Viewed 25 times

(3) We throw a fair dice. Let X denote the absolute value of the difference between the smallest odd prime number on the dice and the number appears on the dice. (a) Determine the range and the probability distribution of X (Answer: range = {0,1,2,3), probability distribution: P(X = 0) = P(X = 3) = P(X = 1) = P(X = 2) = â). (b) Draw the graph of the cumulative distribution function F of the ran- dom variable X (e) Find the expected value and the variance of X (Answer: E(X) V(X) = 1).