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.)+ 102 - (x) (1 + x)-3/2; [0, )

(a) P(0 ≤ X ≤ 2)

(b) P(1 ≤ X ≤ 3)

(c) P(X ≥ 5)

+ 102 - (x) (1 + x)-3/2; [0, )

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