If X~ Uniform(b, 1) and o² = 3μz, what is b? (a) -0.82 (b) 12.18 (c) 20.82 (d) 17.00 (e) None of the above

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
. If X~
Uniform (b, 1) and o² = 3µx, what is b?
(a) -0.82
(b) 12.18
(c) 20.82
(d) 17.00
(e) None of the above
Transcribed Image Text:. If X~ Uniform (b, 1) and o² = 3µx, what is b? (a) -0.82 (b) 12.18 (c) 20.82 (d) 17.00 (e) None of the above
Expert Solution
Step 1: Determine the given variable

To find the value of , we first need to find expressions for the mean  and variance  in terms of .

For a uniform distribution in the interval , the mean and variance are given by:

mu subscript X equals fraction numerator b plus 1 over denominator 2 end fraction

sigma subscript X superscript 2 equals fraction numerator left parenthesis 1 minus b right parenthesis squared over denominator 12 end fraction


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