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. Help with the last one

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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.

Help with the last one

 

(a) P(x ≤ a) = 0.8
a = 4.4
(b) P(x < a) = 0.5
a = 3.5
(c) P(x ≥ a) = 0.91
a = 2.27
(d) P(x > a) = 0.86
a = 2.42
T
m
T
m
F
m
F
(e) P(1.62 ≤ x ≤ a) = 0.24
a =
2.34
——
…
●●●
Transcribed Image Text:(a) P(x ≤ a) = 0.8 a = 4.4 (b) P(x < a) = 0.5 a = 3.5 (c) P(x ≥ a) = 0.91 a = 2.27 (d) P(x > a) = 0.86 a = 2.42 T m T m F m F (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.34 —— … ●●●
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