Question: Work with a transformation. Here is a probability distribution for a random variable X: Value of X 2 3 Probability 0.2 0.8 (a) Find the

Work with a transformation. Here is a probability distribution for a random variable

X:

Value of X 2 3

Probability 0.2 0.8

(a) Find the mean and the standard deviation of this distribution.

(b) Let Y = 5X 1. Use the rules for means and variances to find the mean and the standard deviation

of the distribution of Y.

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