Question: 5.4 If the probability density of a random variable is given by f (x) = x for 0 < x < 1

5.4 If the probability density of a random variable is given by f (x) = ⎧ ⎨ ⎩ x for 0 < x < 1 2 − x for 1 ≤ x < 2 0 elsewhere find the probabilities that a random variable having this probability density will take on a value

(a) between 0.2 and 0.8;

(b) between 0.6 and 1.2.

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