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# 1. A continuous random variable X has probability density function f(x) = It is known that P(X < 1) = 1 – . (a) Show that a = .

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IB Questionbank Mathematics Higher Level 3rd edition 1

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(6)

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## (c) Calculate the probability that X < 3 given that X > 1.

(9) (Total 20 marks)

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(12) (Total 19 marks)

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