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) = 20 (x + 20) [0,00)

(a) P(0 ≤ X ≤ 1) 

(b) P(1 ≤ X ≤ 5)
(c) P(X ≥ 5)

f(x) = 20 (x + 20) [0,00)

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