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(22] Jesse is on their lunch break, and they will return from lunch at a time uniformly distributed between 12:30 and 12:50. Let X be the number of minutes after 12:30 when Jesse returns (so X is a uniform random variable}. (a) What is the interval of possible values for X? (b) Find the formula for the density function x) of X. (c) Find the mean and variance of X (do not compute any integrals)