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.)f(x) = = 20x4 9 20 9x5 if 0 x 1 if

(a) P(0 ≤ X ≤ 1) 

(b) P(X ≥ 1)
(c) P(0 ≤ X ≤ 2)

f(x) = = 20x4 9 20 9x5 if 0 x 1 if x > 1

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