A random variable has the following density function. f(x) = 1 .5x 0 < x <

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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).

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