A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 34 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that the mean of a randomly selected sample of size n=64 is between 31.7 and 35.7.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A Geiger counter counts the number of alpha particles from
radioactive material. Over a long period of time, an average
of 34 particles per minute occurs. Assume the arrival of
particles at the counter follows a Poisson distribution.
Find the probability that the mean of a randomly selected
sample of size n-64 is between 31.7 and 35.7.
Transcribed Image Text:A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 34 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that the mean of a randomly selected sample of size n-64 is between 31.7 and 35.7.
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