An ordinary fair coin is tossed 3 times Outcomes are thus

Last updated: 3/27/2023

An ordinary fair coin is tossed 3 times Outcomes are thus triples of heads h and tails t which we write hth ttt etc For each outcome let w be the random variable counting the number of tails in each outcome For example if the outcome is hht then N hht 1 Suppose that the random variable x is defined in terms of N as follows X 2N 2N 1 The values of x are given in the table below Outcome ttt hth thh hhh htt hht tht tth Value of X 11 1 1 1 3 1 3 3 Calculate the probabilities P x x of the probability distribution of x First fill in the first row with the values of x Then fill in the appropriate probabilities in the second row Value X of X 0 0 0 0 X S