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?

MATLAB: An Introduction with Applications
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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-cm' 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 l-cm³ samples should be selected in order to have a probability of
approximately 0.95 of seeing at least one bacteria colony?
Transcribed Image Text: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-cm' 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 l-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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