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.)

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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.)
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
Step 1

We have given that 

Mean = 15

X~exponentia(λ)

This continuous distribution. 

I want to find some probability. 

 

NOTE:- According to bartleby guidelines expert can solve maximum three subparts of a question and rest can be reposted please. 

 

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