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Mathematics, 18.02.2020 20:58 faithtunison

Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities. Round your answers to three decimal places (e. g. 98.765).

(a)P(0 < X)
(b)P(0.5 < X)
(c)P(-0.5 = X = 0.5)
(d)P(X<-2)
(e)P(X < 0 or X>-0.5)
(f) Determine x such that P(x < X) = 0.05.

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