1. Particles are discharged from a radioactive source according to a Poisson process, with a= 1.2 per minute. Suppose that every week, at twenty randomly selected times, the number of particles discharged over a five-mimute period will be recorded. A. What question are we asking of each five-minute period? (What size? Yes or No? How many?) B. Every week, the manager records the number of particles discharged in each of the 20 randomly selected five-minute periods and then computes the total. What is the probability that the total number of particles discharged in the sample is at least 135? C. What is the probability that the average of a sample (of n= 20 five-minute intervals) will be at least 6.75? (HINT: Convert the average to a total.) D. What is the probability that a sample average (from n- 20 five-minute intervals) will be between 5.82 and 6.27? Radioactive Atom Energy Radiation Particle

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1. Particles are discharged from a radioactive source according to a Poisson process, witha=
1.2 per minute. Suppose that every week, at twenty randomly selected times, the number of
particles discharged over a five-mimite period will be recorded.
A. What question are we asking of each five-minute
period? (What size? Yes or No? How many?)
B. Every week, the manager records the number of
particles discharged in each of the 20 randomly selected
five-minute periods and then computes the total. What
is the probability that the total number of particles
discharged in the sample is at least 135?
C. What is the probability that the average of a sample (of
n = 20 five-minute intervals) will be at least 6.75?
(HINT: Convert the average to a total.)
D. What is the probability that a sample average (from n-
20 five-minute intervals) will be between 5.82 and 6.27?
5min
Radioactive
Atom
Energy
Radiation
Particle
Transcribed Image Text:1. Particles are discharged from a radioactive source according to a Poisson process, witha= 1.2 per minute. Suppose that every week, at twenty randomly selected times, the number of particles discharged over a five-mimite period will be recorded. A. What question are we asking of each five-minute period? (What size? Yes or No? How many?) B. Every week, the manager records the number of particles discharged in each of the 20 randomly selected five-minute periods and then computes the total. What is the probability that the total number of particles discharged in the sample is at least 135? C. What is the probability that the average of a sample (of n = 20 five-minute intervals) will be at least 6.75? (HINT: Convert the average to a total.) D. What is the probability that a sample average (from n- 20 five-minute intervals) will be between 5.82 and 6.27? 5min Radioactive Atom Energy Radiation Particle
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