1. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3 then Var(4X-

2Y+6) is

d)256

4C9 – 20) +

c) 156

a) 9

b) 81

1. Let X and Y be two independent random variables with Var(X)=9 and Var(Y)=3 then Var(4X-

2Y+6) is

d)256

By Iris

SOLUTIONTOCHOOSETHE CORRECTOPTIONLet X and Y be two independent random variables with Var(X) = 9 and Var(Y) = 3 then Var(4X- 2Y + 6)

a) 9

b) 81

c) 156

d)256

FORMULATO BEIMPLEMENTEDWe are aware of the formula on variance that

[tex] \sf{Var(aX + bY + c) = {a}^{2}Var(X) + {b}^{2} Var(Y)}[/tex]

EVALUATIONHere it is given that Var(X) = 9 and Var(Y) = 3

Now

[tex] \sf{Var(4X – 2Y + 6) }[/tex]

[tex] \sf{= {4}^{2}Var(X) + {( – 2)}^{2} Var(Y)}[/tex]

[tex] \sf{= 16Var(X) + 4 Var(Y)}[/tex]

[tex] \sf{= (16 \times 9)+ (4 \times 3)}[/tex]

[tex] \sf{=144 + 12}[/tex]

[tex] \sf{= 156}[/tex]

FINALANSWERHence the correct option is

c) 156━━━━━━━━━━━━━━━━Learn more from Brainly :-1. Generally, what is the range of coefficient of skewness for data where the mode is ill-defined?(A) 0 to 1 (B) -1 to +1

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2. if arithmetic mean of a seties is 45 and median is 40 then calculate the value of mode of that series

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Step-by-step explanation:156

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