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

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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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 arriving in a particular one minute period.

\[ 0.04545 \]

b) Find the probability of exactly one particle arriving 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 four second period.

\[ \text{Box for input/explanation of the answer not filled in} \]
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 arriving in a particular one minute period. \[ 0.04545 \] b) Find the probability of exactly one particle arriving 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 four second period. \[ \text{Box for input/explanation of the answer not filled in} \]
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