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1. The continuous random variable X is distributed with probability density function () = (4 ), 0 4 Find: (i) the value of k (ii)
1. The continuous random variable X is distributed with probability density function () = (4 ), 0 4 Find:
(i) the value of k
(ii) the probability, to three decimal places, that X will exceed 3.
2. A continuous random variable X has probability density function f, where () = 5 8 (4 4 ), 1 < < 1
(I) Check that this f is a valid probability density function.
(II) Calculate ( > 1 2 )
(III) Calculate ()and ()
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