Suppose that X1, X2, X3 are independent and identically distributed random variables with distribution function: Fx (x) = 1 – 4¬* for x > 0 and Fx (x) = 0 for x < 0. Let Y = max (X1, X2, X3), the maximum of the random variables X1, X2, X3. Determine P (Y > 1).

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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Determine ?(?>1)P(Y>1).

Suppose that X1, X2, X3 are independent and identically distributed random
variables with distribution function:
Fx (x) = 1 – 4¬* for x > 0 and Fx (x) = 0 for x < 0.
%3D
Let Y = max (X1, X2, X3), the maximum of the random variables X1, X2, X3.
Determine P (Y > 1).
Transcribed Image Text:Suppose that X1, X2, X3 are independent and identically distributed random variables with distribution function: Fx (x) = 1 – 4¬* for x > 0 and Fx (x) = 0 for x < 0. %3D Let Y = max (X1, X2, X3), the maximum of the random variables X1, X2, X3. Determine P (Y > 1).
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