4. Let R1, R2 be the result of two independent rolls of a fair die. Let S= R1+R2 and D= R1 – R2 be their sum and difference. %3D (a) Show that E(SD) =E(S)E(D). (b) Are S,D independent?

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4. Let R1, R2 be the result of two independent rolls of a fair die. Let S= R1+R2
and D= R1 – R2 be their sum and difference.
%3D
(a) Show that E(SD) =E(S)E(D).
(b) Are S,D independent?
Transcribed Image Text:4. Let R1, R2 be the result of two independent rolls of a fair die. Let S= R1+R2 and D= R1 – R2 be their sum and difference. %3D (a) Show that E(SD) =E(S)E(D). (b) Are S,D independent?
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