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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 1 - Problem 68e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 1 - Problem 68e

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# a. For what value of c is the quantity (xi – c)2minimized

ISBN: 9780321629111 32

## Solution for problem 68E Chapter 1

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

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Problem 68E

a. For what value of c is the quantity ?(xi – c)2minimized? [Hint: Take the derivative with respect to c, set equal to 0, and solve.] b. Using the result of part (a), which of the two quantities )?

Step-by-Step Solution:
Step 1 of 3

Answer: Step1: 2 a). Given that, for what value of c is the quantity (x c) miiimized. 2 Let S = (x c)i Differentiate with respect to ‘c’. That is, ds d 2 dc = dc((x ic) ) ds d 2 dc = dc (x i c) ) ( therefore, the formula for d x = nx n1 ) dx So that, ds 21 d dc = 2 (x i) dc (- c) = 0 = 2 (x i) ( 1)= 0 = 2 (x ci = 0 = (x ic)= 0 = x c= 0 i = x inc = 0 nc = x i xi c = n c = x Therefore, c = x. Step2: b). In result (a), we solved that c = x. 2 c = x minimizes (x c) .i 2 2 Then, (x xi < (x ) i

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321629111

This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 68E from 1 chapter was answered, more than 339 students have viewed the full step-by-step answer. This full solution covers the following key subjects: derivative, equal, hint, minimized, part. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The answer to “a. For what value of c is the quantity ?(xi – c)2minimized? [Hint: Take the derivative with respect to c, set equal to 0, and solve.] b. Using the result of part (a), which of the two quantities )?” is broken down into a number of easy to follow steps, and 39 words. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The full step-by-step solution to problem: 68E from chapter: 1 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM.

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