Answered: 8.43 Let Y₁, Y2,..., Y₁ denote a random… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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8.43 Let Y₁, ₂, ..., Y₁ denote a random sample of size n from a population with a uniform distri-
bution on the interval (0, 0). Let Y(n) = max(Y₁, Y₂, ..., Y₂) and U = (1/0)Y(n).
a Show that U has distribution function
0,
u < 0,
0≤u≤ 1,
Fu (u) = u",
1,
u > 1.
b Because the distribution of U does not depend on 0, U is a pivotal quantity. Find a 95%
lower confidence bound for 0.

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