Consider a block of radio-active metal with a "half-life" of 1 day. Roughly speaking, this neans that after 1 day the amount of radiation is half of what it was at the beginning of the lay, after two days it is 1/4th, after three days 1/8th, etc. Let N; be the number of particles chat arrive at a Geiger counter during [0, t] (hours). (a) Is it reasonable to assume that (N;) is a Poisson process with time dependent rate A(t) = c x ()7 (t in hours), for some constant c (c is called the initial rate)? We put from now on c= 10 (per hour).
Consider a block of radio-active metal with a "half-life" of 1 day. Roughly speaking, this neans that after 1 day the amount of radiation is half of what it was at the beginning of the lay, after two days it is 1/4th, after three days 1/8th, etc. Let N; be the number of particles chat arrive at a Geiger counter during [0, t] (hours). (a) Is it reasonable to assume that (N;) is a Poisson process with time dependent rate A(t) = c x ()7 (t in hours), for some constant c (c is called the initial rate)? We put from now on c= 10 (per hour).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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9.
![Consider a block of radio-active metal with a "half-life" of 1 day. Roughly speaking, this
means that after 1 day the amount of radiation is half of what it was at the beginning of the
day, after two days it is 1/4th, after three days 1/8th, etc. Let N; be the number of particles
that arrive at a Geiger counter during [0, t] (hours).
(a) Is it reasonable to assume that (Nt) is a Poisson process with time dependent rate (t)
= cx ()724 (t in hours), for some constant e (c is called the initial rate)?
t/24
We put from now on c =
10 (per hour).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc959ddc1-b199-4bb3-9940-9689ce245866%2F6209d9e3-288b-485b-81cf-7aac50736d4f%2Fpbblnrn_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a block of radio-active metal with a "half-life" of 1 day. Roughly speaking, this
means that after 1 day the amount of radiation is half of what it was at the beginning of the
day, after two days it is 1/4th, after three days 1/8th, etc. Let N; be the number of particles
that arrive at a Geiger counter during [0, t] (hours).
(a) Is it reasonable to assume that (Nt) is a Poisson process with time dependent rate (t)
= cx ()724 (t in hours), for some constant e (c is called the initial rate)?
t/24
We put from now on c =
10 (per hour).
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