Suppose a random variable x is best described by a uniform probability distribution with range 2 to 4. Find the value of a that makes the following probability statements true. (a) P(x < a) = 0.31 a = 2.62 (b) P(x < a) = 0.53 a = 3.6 (c) P(x 2 a) = 1 a = (d) P(x > a) = 0.19 a = (e) P(2.5 < x < a) = 0.29 a =

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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Suppose a random variable x is best described by a uniform probability distribution with range 2 to 4. Find the value of a that makes the
following probability statements true.
(a) P(x < a) = 0.31
a =
2.62
(b) P(x < a) = 0.53
a =
3.6
(c) P(x > a) = 1
a =
2
(d) P(x > a) = 0.19
a =
(e) P(2.5 < x < a) = 0.29
a =
Transcribed Image Text:Suppose a random variable x is best described by a uniform probability distribution with range 2 to 4. Find the value of a that makes the following probability statements true. (a) P(x < a) = 0.31 a = 2.62 (b) P(x < a) = 0.53 a = 3.6 (c) P(x > a) = 1 a = 2 (d) P(x > a) = 0.19 a = (e) P(2.5 < x < a) = 0.29 a =
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