SOLUTION: The probability distribution of a discrete random variable X is shown below x 0 1 2 3 p(x) 0.25 0.40 0.20 0.15 1) Find the expected value of X and the standard deviation of

Question 381445: The probability distribution of a discrete random variable X is shown below
x 0 1 2 3
p(x) 0.25 0.40 0.20 0.15
1) Find the expected value of X and the standard deviation of X
2) Suppose another random variable, Y = -3X-2. Then find the expected value of Y and the standard deviation of Y
-3X-2)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
1)
.
2) E(-3X-2) = -3E(X) - 2 = -3*1.25-2 = -5.75.
. This means . Hence standard deviation of Y = -3X-2 is 3*0.99373 = 2.98119.
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