Show that each function defined as follows is a probability density function on the given interval; then

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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)

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