Question: Suppose a random variable X is 4 with probability .5, 2.75 with probability .2 and 18.398 with probability .3. 1. What is the mean of

Suppose a random variable X is 4 with probability .5, 2.75 with probability .2 and 18.398 with probability .3.

1. What is the mean of X, E[X]?

2. What is the variance of X, V ar(X)?

3. Graph the probability mass function of X, p(x) = P(X = x)

4. Roughly graph the cumulative distribution function, F(x) = P(X x). 2

5. Find the mean and variance of Y = 10 X 1

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