Question: In Exercises 19 through 26, f(x) is a probability density function for a particular random variable X. Use integration to find the indicated probabilities. a.

In Exercises 19 through 26, f(x) is a probability density function for a particular random variable X. Use integration to find the indicated probabilities.

f(x) = [2xe-x 0 if x 0 if x < 0

a. P(X ≥ 0)

b. P(1 ≤ X ≤ 2)

c. P(X ≤ 2)

f(x) = [2xe-x 0 if x 0 if x < 0

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