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

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Suppose that X is a continuous random variable with distribution function

⎧⎪⎨⎪⎩
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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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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