Question: Show that each function defined as follows is a probability density function on the given interval; then find the indicated probabilities. (Round probabilities to 4

Show that each function defined as follows is a probability density function on the given interval; then find the indicated probabilities. (Round probabilities to 4 decimal places.)

ƒ(x) = e^-x; [0, ∞)
(a) P(0 ≤ X ≤ 1)

(b) P(1 ≤ X ≤ 2)
(c) P(X ≤ 2)

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