Two random variables X and Y are connected through their respective probability generating functions P(s) and Q(s) by the relation Q(s) = s³ P(s) The relationship between their means and variances are Select one: O a. E[Y] = 3E[X] ; Var[Y] = 9Var[X] Ob. E[Y] = E[X] +3; Var[Y] = Var[X] +9 E[Y] = E[X] +3 ; Var[Y] = Var[X] O C. E[Y] = E[X] ; Var[Y] = Var[X]

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Two random variables X and Y are connected through their respective
probability generating functions P(s) and Q(s) by the relation
Q(s) = s³ P(s) The relationship between their means and variances are
Select one:
O a. E[Y] =3E[X] ;Var[Y] = 9Var[X]
○b. E[Y] = E[X] +3 ;Var[Y] =Var[X] +9
E[Y] = E[X] +3 ;Var[Y] =Var[X]
E[Y] = E[X] ; Var[Y] = Var[X]
O C.
Transcribed Image Text:Two random variables X and Y are connected through their respective probability generating functions P(s) and Q(s) by the relation Q(s) = s³ P(s) The relationship between their means and variances are Select one: O a. E[Y] =3E[X] ;Var[Y] = 9Var[X] ○b. E[Y] = E[X] +3 ;Var[Y] =Var[X] +9 E[Y] = E[X] +3 ;Var[Y] =Var[X] E[Y] = E[X] ; Var[Y] = Var[X] O C.
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