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Let X be a continuous random variable with the following probability density function. f(x) = 1 if 0 x < 1/2 1/3x^-3 if 1/2 x

Let X be a continuous random variable with the following probability density function.

f(x) = 1 if 0 x < 1/2 1/3x^-3 if 1/2 x 1 0 ortherwise 1. Find the cumulative distribution function (CDF) of X. 2. Find the 90th percentile of the distribution.

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