Probability distribution-mean and variance

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The following problem develop the concept of determining the probability distribution of random variable and its mean and variance.

A fair coin is tossed three times. Describe the sample space Ω.

Let X be random variable that denotes the number of heads on the first toss. Describe the probability frequency
distribution of X. Find the mean E(X) and variance Var(X).

Let Y be another random variable that counts the total number of heads. Describe the probability frequency distribution
of Y , and evaluate E(Y) and Var(Y ).

Describe the frequency distribution of the ordered pair Z = (X, Y ). Then evaluate E(Z) and Var(Z).

Describe the frequency distribution of the product W = XY . Then evaluate E(W) and Var(W).

Reference no: EM1390495

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