Question: [10 marks] A sequence of random variates following exponential distribution with mean u can be generated using the formula: X=-uln(1-u), where u is a

[10 marks] A sequence of random variates following exponential distribution with mean u can be generated using the formula: X=-uln(1-u), where u is a random variate uniformly distributed between 0 and 1. Find the cdf, pdf, mean and variance of the random variable X.

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