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3 marksContinuous Random Variables

CAPE Applied Mathematics Unit 2 · 2015 · Paper 2 · Question 4(a)(ii)

A continuous random variable X has probability density function f(x) = a + bx for 0 < x < 1, and 0 otherwise. It is given that F(0.5) = 0.8.

Determine P(X > 0.5).

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