Question: 5.2 If the probability density of a random variable is given by f (x) = (k + 2)x3 0 < x < 1 0

5.2 If the probability density of a random variable is given by f (x) = (k + 2)x3 0 < x < 1 0 elsewhere find the value k and the probability that the random variable takes on a value

(a) greater than 3 4 ;

(b) between 1 3 and 2 3 .

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