d) Find the probability that at least two particles arrive in a particular 4 second period.
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.
\[ \text{Box for input/explanation of the answer not filled in} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80864b91-d3a3-4910-ac0e-8d4cb607fd82%2F731f8a3f-ba49-49c4-b4fe-48479da12567%2Fk4v3y3j_processed.jpeg&w=3840&q=75)
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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