d) Find the probability that at least two particles arrive in a particular 4 second period.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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3pt.2 Need help with part d only that’s the only one I need. Thanks
A Geiger counter counts the number of alpha particles from
radioactive material. Over a long period of time, an average
of 27 particles per minute occurs. Assume the arrival of
particles at the counter follows a Poisson distribution.
a) Find the probability of exactly 32 particles arrive in a
particular one minute period.
0.04545
b) Find the probability of exactly one particle arrives in a
particular one second period.
0.286933
c) Find the probability that at least one particle arrives in a
particular one second period.
0.362372
d) Find the probability that at least two particles arrive in a
particular 4 second period.
Transcribed Image Text:A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 27 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. a) Find the probability of exactly 32 particles arrive in a particular one minute period. 0.04545 b) Find the probability of exactly one particle arrives in a particular one second period. 0.286933 c) Find the probability that at least one particle arrives in a particular one second period. 0.362372 d) Find the probability that at least two particles arrive in a particular 4 second period.
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