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The mean number of bacteria colonies of a certain type in samples of polluted water is 2 per cubic centimeter (cm3).
(a) If four 1-cm3 samples are independently selected from this water, find the probability 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 .95 of seeing at least one bacteria colony in at least one of the 1-cm3 samples?
(c) If four 1-cm3 samples are independently selected from this water, find the probability at least two samples will contain one or more bacteria colonies.
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