Math, asked by ali6394, 11 months ago

S.D of x is 5. What will be the variance of Y if Y=3x +10/5
a) 37.5
b)100
c)56.25
d)100

Answers

Answered by anujyadav3124
5

Answer:

(c). 56.25

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Answered by knjroopa
2

Step-by-step explanation:

Given S.D of x is 5. What will be the variance of Y if Y=3x +10/5

  • Given standard deviation SD = 5
  • So variance will be 5^2 = 25
  • So var(x) = 25
  • Var (x + b) = Var (x)
  • Var (ax) = a^2 x var(x)
  • Var (ax + b) = a^2 x var(x)
  • Var (0.6 x + 2) = 2^2 x 25
  •                           = 100

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