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1) (30 points) The median of a continuous random variable having distribution function F is that value m such that F(m) = 0.5. That is,

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1) (30 points) The median of a continuous random variable having distribution function F is that value m such that F(m) = 0.5. That is, a random variable is just as likely to be larger than its median as it is to be smaller. Find the median of X if X is a) Uniformly distributed over (a,b) b) Normal with parameters (u, 02) c) Exponential with rate 1

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