The number of bacteria colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 2 per cubic centimeter (cm3) a. If four 1-cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacteria colonies. b. How many 1-cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacteria colony?
The number of bacteria colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 2 per cubic centimeter (cm3) a. If four 1-cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacteria colonies. b. How many 1-cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacteria colony?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
The number of bacteria colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 2 per cubic centimeter (cm3)
a. If four 1-cm3
samples are independently selected from this water, find the
probability that at least one sample will contain one or more bacteria colonies.
b. How many 1-cm3
samples should be selected in order to have a probability of
approximately 0.95 of seeing at least one bacteria colony?
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