A random variable X has distribution function F(t) = 0, t < 0, t6, 0
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A random variable X has distribution function F(t) =
⎧⎪⎨⎪⎩
0, t < 0, t∕6, 0 ≤ t < 3, 3∕5, 3 ≤ t < 5, 1, t ≥ 5.
Then
(a) F has no jumps (it is a continuous distribution)
(b) F has one jump at the point t = 5
(c) F has two jumps at the points t = 0 and t = 3
(d) P(X = 3) = 1∕10
(e) P(X ≥ 5) = 1
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Related Book For
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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