Let X be the number of bacterial colonies per cubic centimeter, a Poisson random variable with expected value 3. (i) What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter? (ii) What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where there is at least one bacterial colony? (iii) How many cubic centimeters must be observed for the probability of observing at least one with at least one bacterial colony to be 0.95? 0.9999997 + What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter? What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where 0.9502 there is at least one bacterial colony? How many cubic centimeters must be observed for the probability of observing at least one with at least one 1 bacterial colony to be 0.95?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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CHAPTER 5 TEXTBOOK Section 5.18- Exercise 20
Let X be the number of bacterial colonies per cubic centimeter, a Poisson random variable with expected value 3.
(i) What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter?
(ii) What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where there is at least
one bacterial colony?
(iii) How many cubic centimeters must be observed for the probability of observing at least one with at least one bacterial colony to be
0.95?
0.9999997 ÷
What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter?
What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where
0.9502
there is at least one bacterial colony?
How many cubic centimeters must be observed for the probability of observing at least one with at least one
1
bacterial colony to be 0.95?
Transcribed Image Text:CHAPTER 5 TEXTBOOK Section 5.18- Exercise 20 Let X be the number of bacterial colonies per cubic centimeter, a Poisson random variable with expected value 3. (i) What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter? (ii) What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where there is at least one bacterial colony? (iii) How many cubic centimeters must be observed for the probability of observing at least one with at least one bacterial colony to be 0.95? 0.9999997 ÷ What is the probability that there is at least one bacterial colony in a randomly chosen cubic centimeter? What is the probability that in five randomly chosen cubic centimeters there is at least one cubic centimeter where 0.9502 there is at least one bacterial colony? How many cubic centimeters must be observed for the probability of observing at least one with at least one 1 bacterial colony to be 0.95?
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