With reference to Theorem 3.3, verify that (a) P(X > x i ) = 1- F(x i
Question:
With reference to Theorem 3.3, verify that
(a) P(X > xi) = 1- F(xi) for i = 1, 2, 3, . . . , n;
(b) P(X G xi) = 1- F(xi- 1) for i = 2, 3, . . . , n, and P(X ≥ x1) = 1.
Theorem 3.3
If the range of a random variable X consists of the values x1 < x2 < x3 < · · · < xn, then f(x1) = F(x1) and f(xi) = F(xi) – F(xi – 1) for i = 2, 3, . . . , n
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Related Book For
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
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