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Mathematics, 20.11.2019 22:31 pandadude123

Suppose that the continuous random variable x has cdf given by fxptq " $ ’& ’% 0 if t ă ? 2 t 2 ´ 2 if ? 2 ď t ă ? 3 1 if t ě ? 3. (a) find the smallest interval ra, bs such that of ppa ď x ď bq " 1. (b) find ppx " 1.5q, ppx ă 1.5q and ppx ď 1.5q. (c) find pp1 ď x ď 1.5q. (d) find the probability density function of x.

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