Show that each function defined as follows is a probability density function on the given interval; then
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 decimal places.)
ƒ(x) = (1/2)e-x/2; [0, ∞)
(a) P(0 ≤ X ≤ 1)
(b) P(1 ≤ X ≤ 3)
(c) P(X ≥ 2)
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