Let X be the number of heads after a coin is tossed three times. Let Y denote the face that comes up after rolling a die. Let Z = X ? Y. Find the expected value E(Z),variance V (Z) and standard deviation D(Z).
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Step 1
For X, there are 2^3 = 8 possible outcomes when tossing a coin three times. The possible values of X are 0, 1, 2, and 3. The probabilities for each value are as follows: - P(X=0) = 1/8 (all tails) - P(X=1) = 3/8 (one head and two tails) - P(X=2) = 3/8 (two heads Show more…
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