Question: Please show all work. Hand written preferred. 3. [20 points] You grab 4 marbles from a bag containing 5 red marbles and 2 green marbles.

Please show all work. Hand written preferred.

3. [20 points] You grab 4 marbles from a bag containing 5 red marbles and 2 green marbles. LetX be the number of red marbles you grab. a. Complete the probability distribution for X. Show all your work. b. Calculate the expected value of X, showing your calculations. 4. [20 points] A coin is tossed four times and X is the number of tails that come up. a. Complete the probability distribution forX. P(X = x) b. Calculate the expected value and standard deviation of X. Show your calculations. (Hint: consider the type of random variable represented in this problem)

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