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Question 1 The random variables X & Y are independent. E[X] = 5, E[Y] = 7,...

Question 1

The random variables X & Y are independent. E[X] = 5, E[Y] = 7, Var[X] = 4,

Var[Y] = 6. Calculate following expectation and variance. ( ?[?] =

? ,???[?]=?2) ??

(a) E[5X+6]
(b) E[6Y+3]
(c) E[X-Y+11]
(d) Var[3X+10000] (e) Var[-4Y-1234567] (f) Var[2X-3Y]

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