Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x ≤ a) = 0.85 a = (b) P(x < a) = 0.41 a = (c) P(x ≥ a) = 0.83 a =

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose a random variable x is best
described by a uniform probability distribution with
range 2 to 5. Find the value of a that makes the
following probability statements true.
(a) P(x ≤ a) = 0.85
a =
(b) P(x < a) = 0.41
a =
(c) P(x ≥ a) = 0.83
a =
(d) P(x > a) = 0.6
a =
(e) P(1.62 ≤ x ≤ a) = 0.5
a =
Transcribed Image Text:Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x ≤ a) = 0.85 a = (b) P(x < a) = 0.41 a = (c) P(x ≥ a) = 0.83 a = (d) P(x > a) = 0.6 a = (e) P(1.62 ≤ x ≤ a) = 0.5 a =
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