Pearson eText for Probability and Statistical Inference -- Instant Access (Pearson+)

10th Edition

ISBN: 9780137538461

Author: Robert Hogg, Elliot Tanis

Publisher: PEARSON+

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Textbook Question

Chapter 3.1, Problem 5E

Let Y have a uniform distribution U ( 0 , 1 ) , and let W = a + ( b − a ) Y , a < b .

(a) Find the cdf of W.

HINT: Find P [ a + ( b − a ) Y ≤ w ] .

(b) How is W distributed?

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Chapter 3.1, Problem 4E

Chapter 3.1, Problem 6E

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Chapter 3 Solutions

Pearson eText for Probability and Statistical Inference -- Instant Access (Pearson+)

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Let Y have a uniform distribution U ( 0 , 1 ) , and let W = a + ( b − a ) Y , a &lt; b . (a) Find the cdf of W. HINT: Find P [ a + ( b − a ) Y ≤ w ] . (b) How is W distributed?

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Let Y have a uniform distribution U ( 0 , 1 ) , and let W = a + ( b − a ) Y , a < b . (a) Find the cdf of W. HINT: Find P [ a + ( b − a ) Y ≤ w ] . (b) How is W distributed?