Suppose the number of different computers (X) used by a student in the last week

Question

Suppose the number of different computers (X) used by a student in the last week has the distribution in the following table.     X P(X) 0 0.3 1 0.4 2 0.3 ? ? = E[X] ? = Var[X] Now let X1 and X2 be two independent observations sampled from the above distribution. Let Y= (X1+X2)/2. Fill out the tables below: Y values Y Probabilities X1 0 1 2 0.3 0.4 0.3 X2 0    0.3 1 0.4 2 0.3 Distribution of Y (PMF) (CDF) Y P(Y) P(Y?y) 0 0.5 1 1.5 2 ? = E[Y] ? = Var[Y] ? = SD[Y] Suppose the number of different computers (X) used by a student in the last week has the distribution in the following table.     X P(X) 0 0.3 1 0.4 2 0.3 ? ? = E[X] ? = Var[X] Now let X1 and X2 be two independent observations sampled from the above distribution. Let Y= (X1+X2)/2. Fill out the tables below: Y values Y Probabilities X1 0 1 2 0.3 0.4 0.3 X2 0    0.3 1 0.4 2 0.3 Distribution of Y (PMF) (CDF) Y P(Y) P(Y?y) 0 0.5 1 1.5 2 ? = E[Y] ? = Var[Y] ? = SD[Y]

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