6.88 Suppose that the length of time Y it takes a worker to complete a certain task has the probability density function given by -{0.00 0, f(y) = elsewhere, where is a positive constant that represents the minimum time until task completion. Let Y₁, Y₂,..., Y, denote a random sample of completion times from this distribution. Find a the density function for Y(1) = min(Y₁, Y2, ..., Yn). b E(Y()).
6.88 Suppose that the length of time Y it takes a worker to complete a certain task has the probability density function given by -{0.00 0, f(y) = elsewhere, where is a positive constant that represents the minimum time until task completion. Let Y₁, Y₂,..., Y, denote a random sample of completion times from this distribution. Find a the density function for Y(1) = min(Y₁, Y2, ..., Yn). b E(Y()).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:6.88 Suppose that the length of time Y it takes a worker to complete a certain task has the probability
density function given by
-(-9), y>0,
f(y) =
= {0.²
elsewhere,
where is a positive constant that represents the minimum time until task completion. Let
Y₁, Y₂, ..., Y, denote a random sample of completion times from this distribution. Find
a the density function for Y(1) = min(Y₁, Y₂, ..., Y₁).
b E(Y(₁)).
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