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zepelin [54]
4 years ago
9

If x is a normal random variable with a standard deviation of 10, then 3x has a standard deviation equal to:

Mathematics
1 answer:
kicyunya [14]4 years ago
4 0
Standard deviation(σ_{x}) = √V(X) = 10
Therefore, variance of X. V(X) = 10² = 100

Variance of aX is given by,
V(aX) = a²V(X)

Therefore, variance of 3X will be,
V(3X) = 3²V(X) = 9(100) = 900

Therefore, standard deviation of 3X is,

σ_{3x} = √V(3X) = √900 = 30
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