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.\[ \text{Box for input/explanation of the answer not filled in} \]

An average of 27 particles per minute occurs. The arrival of particles at the counter follows a…

Answered: d) Find the probability that at least…

Math

Probability

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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Question

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.

\[ \text{Box for input/explanation of the answer not filled in} \]

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