In: Statistics and Probability
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]