w that X has an exponential distribution. State its paramete X.....X₁ are independent observations for X. Calculate t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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show as exponential distribution

Let X be a continuous random variable with E(X)=i! for i = 0,1,2,....
(a)
Show that X has an exponential distribution. State its parameter.
(b)
If X₁, X₂,..., X₁ are independent observations for X. Calculate the probability
that 4 out 10 observations are greater than 5.
Transcribed Image Text:Let X be a continuous random variable with E(X)=i! for i = 0,1,2,.... (a) Show that X has an exponential distribution. State its parameter. (b) If X₁, X₂,..., X₁ are independent observations for X. Calculate the probability that 4 out 10 observations are greater than 5.
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