Answered: Find the CDF and PDF of X = min(X1, X2,…

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Find the CDF and PDF of X = min(X1, X2, · · · , Xn)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Question

Let X1, X2, · · · , Xn be uniform i.i.d. random variables between [0, 1].
Find the CDF and PDF of X = min(X1, X2, · · · , Xn)

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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