Let X be the number of trials until the r -th success in a sequence of independent Bernoulli variables with probability of success p Give the limiting moment generating distribution of Y = pX as p → 0 evaluated at t = 0,3 and r = 6

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
Question
Let X
be the number of trials until the r -th success in a sequence of independent Bernoulli variables with probability of success p
Give the limiting moment generating distribution of Y = pX
as p → 0
evaluated at t = 0.3
and r = 6
Transcribed Image Text:Let X be the number of trials until the r -th success in a sequence of independent Bernoulli variables with probability of success p Give the limiting moment generating distribution of Y = pX as p → 0 evaluated at t = 0.3 and r = 6
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