3 years ago

The expected value of a random variable X is 140 and the standard deviation is 14. The expected value of the random variable Y

1 answer:

4 0

Complete question :

The expected value of a random variable X is 140 and the standard deviation is 14. The standard deviation of the random variable Y=3X-10 is:

Answer:

Step-by-step explanation:

Standard deviation of Y = 3X - 10

The variance of Y

Var(Y) = Var(3X - 10)

Var(Y) = Var(3X) - Var(10)

10 is a constant :

Var(10) = 0

Hence,

Var(Y) = Var(3x)

SD(Y) = Var(Y) = Var(3X)

SD(Y) = SD(3X)

SD(Y) = 3SD(X)

SD(X) = 14

SD(Y) = 3 * 14

SD(Y) = 42

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