Accidents occur at a rate of 2.5 per month, and the time between accidents is exponentially distributed. Let T be the waiting time random variable from the beginning of an observation until the third accident. Find the E[T] and Var[T].

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Accidents occur at a rate of 2.5 per month, and the time
between accidents is exponentially distributed. Let T be
the waiting time random variable from the beginning of
an observation until the third accident. Find the E[T]
and Var[T].
If Var[X+Y]=3, Var[X-Y]=1, E[X]=1 and E[Y]=2, then
what is E[XY]?
Transcribed Image Text:Accidents occur at a rate of 2.5 per month, and the time between accidents is exponentially distributed. Let T be the waiting time random variable from the beginning of an observation until the third accident. Find the E[T] and Var[T]. If Var[X+Y]=3, Var[X-Y]=1, E[X]=1 and E[Y]=2, then what is E[XY]?
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