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Please help me with the following questions! You are given the following distributions, where some of the probabilities have Suppose you are playing a game.

Please help me with the following questions!

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You are given the following distributions, where some of the probabilities have Suppose you are playing a game. The random variable, Y, represents your net been removed. Complete the tables so that each probability distribution is valid. profit in dollars. The probability distribution of Y is as follows. (Round your answers (Round your answers to two decimal places.) to 4 decimal places, if needed.) #1 -3 -2 -1 3 5 Distribution A Distribution B Distribution C P(Y = y) 0.15 0.17 ? 0.22 0.2 P(x P(x) P(x) #2 5 0.22 3 0.75 (a) What is the mean for net profit? 2 0.65 10 4 0.2 (b) What is the median for net profit? 15 0.22 5 20 0.339999999999 (c) What is the standard deviation for net profit? 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 A manufacturer produces items with a rectangular base. Let random variables from tossing the coin three times. (Round your answers to 4 decimal places, if denote the respective length (X) and width ()) of the rectangle (in cm). Suppose X needed.) and Y are independent with the following parameter values. (a) If the probability of getting heads in a single toss is 0.34, then what is the E(X) = 3, Var(X) = 0.19, E(Y) = 7, Var(Y) = 0.36 probability distribution of X ? #4 0 The perimeter is then defined as 2X + 2Y. P(X = x) (Round your answers to 4 decimal places, if needed.) (b) What is P(X

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