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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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#2: Let X1, X2 and X3 an independent and identically distributed (i.i.d.) random sample taken from
a distribution with probability density function (p.d.f.) f(x). Let Y1 be the 1st order statistic of
X1, X2, and X3
(a) Mathematically define Yı in terms of X1, X2, and X3, i.e. what mathematical operations
would you take between the X's to get Yı.
(b) Find the cumulative distribution function (c.d.f.) of Y1
(c) Derive the p.d.f. of Y1 from its c.d.f (you may not cite problem 4)

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