Question: A random variable X has a mean EX] = 1 and variance Var[X] = 1. i) Find P[X 2 2] if X has an exponential

 A random variable X has a mean EX] = 1 and
variance Var[X] = 1. i) Find P[X 2 2] if X has

A random variable X has a mean EX] = 1 and variance Var[X] = 1. i) Find P[X 2 2] if X has an exponential distribution. ii) Find P[X 2 2] if X has a normal distribution. iii) Find P[X > 2] if X has a uniform distribution. iv) Find an upper bound for P[X 2 4], if nothing else is known about the distribution of X but the mean and variance

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