ppose X has an exponential distribution with mean equal to 15. Determine the following: P(X > 10) (Round your answer to 3 decimal places.) P(X > 20) (Round your answer to 3 decimal places.) P(X < 30) (Round your answer to 3 decimal places.)
ppose X has an exponential distribution with mean equal to 15. Determine the following: P(X > 10) (Round your answer to 3 decimal places.) P(X > 20) (Round your answer to 3 decimal places.) P(X < 30) (Round your answer to 3 decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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
Transcribed Image Text:Suppose X has an exponential distribution with mean equal to 15. Determine the following:
(a) P(X > 10) (Round your answer to 3 decimal places.)
(b) P(X > 20) (Round your answer to 3 decimal places.)
(c) P(X < 30) (Round your answer to 3 decimal places.)
(d) Find the value of x such that P(X < x)
= 0.95. (Round your answer to 2 decimal places.)
Expert Solution
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Step 1
We have given that
Mean = 15
X~exponentia(λ)
This continuous distribution.
I want to find some probability.
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