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# The n candidates for a job have been ranked 1, 2, 3, . . . ISBN: 9780321629111 32

## Solution for problem 37E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 37E

The n candidates for a job have been ranked 1, 2, 3, . . . , n. Let X = the rank of a randomly selected candidate, so that X has pmf (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1) /2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.]

Step-by-Step Solution:

Answer Step 1 of 3 E(x)=xp(x) =x(1/n) =(1/n)n(n+1)/2 here x means The sum of the first n positive integers i.e. n(n + 1) /2 =(n+1)/2 Step 2 of 3 E(x )=x p(x) 2 =x (1/n) =(1/n) n(n + 1)(2n + 1)/6 =(n + 1)(2n + 1)/6

Step 3 of 3

##### ISBN: 9780321629111

The full step-by-step solution to problem: 37E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: sum, PMF, candidate, candidates, compute. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The answer to “The n candidates for a job have been ranked 1, 2, 3, . . . , n. Let X = the rank of a randomly selected candidate, so that X has pmf (this is called the discrete uniform distribution). Compute E(X) and V(X) using the shortcut formula. [Hint: The sum of the first n positive integers is n(n + 1) /2, whereas the sum of their squares is n(n + 1)(2n + 1)/6.]” is broken down into a number of easy to follow steps, and 73 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 37E from 3 chapter was answered, more than 389 students have viewed the full step-by-step answer.

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