# Let h ave the Pareto pdf introduced in Exercise 10. a. f

## Problem 24E Chapter 4

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 24E

Let ? h? ave the Pareto pdf introduced in Exercise 10. a.? f k>1, compute E ? ?(? . b.? ?What can you say about ?E?(?X?) if k=1? c.? ?If k>2 , show thatV(X) = k?2 (k – 1)– 2(k –2)–1. d.? ?If k=2, what can you say about V ? ?(?X?)? e.? hat conditions on ?k ?are necessary to ensure that E(Xn) is finite?

Step-by-Step Solution:

Solution : Step 1: It is given the random variable X ~ pareto distribution with pdf Step 2: a) We have to find the E(x) , when K>1 E(x) = x f(x) dx K K = x xK+1 dx K X = k XK+1 dx = k [X-k/ -k+1] = k [0 - (K+1/ K + 1)] , when K>1. K = K1 b) We have to find E(x) when K=1 It will be E(x) = K K1 = (undefined)

Step 3 of 3

##### ISBN: 9780321629111

This full solution covers the following key subjects: say, introduced, conditions, ensure, exercise. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The full step-by-step solution to problem: 24E from chapter: 4 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9. Since the solution to 24E from 4 chapter was answered, more than 253 students have viewed the full step-by-step answer. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780321629111. The answer to “Let ? h? ave the Pareto pdf introduced in Exercise 10. a.? f k>1, compute E ? ?(? . b.? ?What can you say about ?E?(?X?) if k=1? c.? ?If k>2 , show thatV(X) = k?2 (k – 1)– 2(k –2)–1. d.? ?If k=2, what can you say about V ? ?(?X?)? e.? hat conditions on ?k ?are necessary to ensure that E(Xn) is finite?” is broken down into a number of easy to follow steps, and 65 words.

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