Question: Suppose that X is a continuous random variable with distribution function 0, t < 2, 0.5t 1, 2 t 4, 1,

Suppose that X is a continuous random variable with distribution function

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0, t < 2, 0.5t − 1, 2 ≤ t ≤ 4, 1, t > 4.
Draw a graph of the difference between the exact value of the probability P(|X − 3| ≥ t), t > 0, and the upper bound for this that we get from Chebyshev’s inequality, for different values of t.

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