You are given the following distributions, where some of the probabilities have been removed. Complete the tables so that each probability distribution is valid. (Round your answers to two decimal places.) Distribution A Distribution B Distribution C X P ( x ) X P (x ) X P (x ) 1 5 0.23 3 0.7 2 0.55 10 4 0.25 15 10.23 5 20 0.38 CheckSuppose you are playing a game. The random variable, Y, represents your net prot in dollars. The probability distribution of Yis as follows. (Round your answers to 4 decimal places, if needed.) y 3 2 1 3 5 (a) What is the mean for net profit? S (b) What is the median for net prot? S (c) What is the standard deviation for net prot? S Check Say you have a biased coin and you associate obtaining a head with the value 0 whereas obtaining a tail has a value of 2. Let X be the sum of the values obtained from tossing the coin three times. (Round your answers to 4 decimal places, if needed.) (a) If the probability of getting heads in a single toss is 0.38, then what is the probability distribution of X? X 0 2 4 6 P (X = x ) (b) What is P(X