# Question

A random variable has the following density function.

f(x) = 1 − .5x 0 < x < 2

a. Graph the density function.

b. Verify that f(x) is a density function.

c. Find P(X > 1).

d. Find P(X < .5).

e. Find P(X = 1.5).

f(x) = 1 − .5x 0 < x < 2

a. Graph the density function.

b. Verify that f(x) is a density function.

c. Find P(X > 1).

d. Find P(X < .5).

e. Find P(X = 1.5).

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