A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of X is 1 and variance is 1/3. (a) Find the probability that X takes values within 2 standard deviations of the mean i.e. P(|X−1| < 20). (b) Find a bound for the probability in part (a) using the Chebychev's inequality.

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