4.3(i) Let X - N (u, o'), and for 0< a < 1, let x, and X1-a be the ath and (1 – a)th quantiles, respectively, ofX; i.e., P(X < x,) = P(X > x1-a) = a, so that P(x,

Name: 4.3(i) Let X - N (u, o'), and for 0< a < 1, let x, and X1-a be the at
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Description: 4.3(i) Let X - N (u, o'), and for 0 x1-a) = a, so that P(x,

here X is normal distribution. 0<alpha<1

Answered: 4.3 (i) Let X ~ N (µ, o), and for 0…

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4.3 (i) Let X ~ N (µ, o), and for 0 x1-a) = a, so that P(x,

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 30E: Let be as described in the proof of Theorem. Give a specific example of a positive element of .

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4.3
(i) Let X - N (u, o'), and for 0< a < 1, let x, and X1-a be the ath and (1 – a)th quantiles, respectively, of
X; i.e., P(X < x,) = P(X > x1-a) = a, so that P(x, <X<x1-a) = 2a. Show that x, = u +o$* (a), x1-a =µ + o
(1 - a), so that [xa, X1-a] = [u + o @ 1 (æ), µ + o O1 (1 – a)].

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