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.)
(a) P(0 ≤ X ≤ 2)
(b) P(X ≥ 2)
(c) P(1 ≤ X ≤ 3)
Transcribed Image Text:
f(x) = 12 16 3x3 if 0 ≤ x ≤ 2 if x > 2
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