Question: ps5 A mixed random variable X is equal to 2 with probability 0.4 and is uniformly distributed from 5 to +7 with probability 0.6. a).

ps5

A mixed random variable X is equal to 2 with probability 0.4 and is uniformly distributed from 5 to +7 with probability 0.6.

a). Write a mathematical expression for the probability density function fX (x).

b). Make a labeled sketch of the distribution function FX ( x) for all values of x.

c). Find P{X 2} and P{X >2}.

d). Find E(X), E(X2) and 2X.

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