A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity (lambda=1)

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A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity $\lambda=1$ per 12 seconds. On average, the Geiger counter only records 4 out of 5 particles.

(1) What is the probability $p_{\geq 2}$ that the Geiger counter records at least 2 particles a minute?

(2) What are mean value and variance of the random time $Y$ between the occurrence of two successively recorded particles?

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:01 PM

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A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity (lambda=1)

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Applied Probability And Stochastic Processes

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