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Suppose the numbers of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately normally distributed, with a mean of 85 and a standard deviation of 9.

a) What is the probability that a given 1-ml sample will contain mode than 100 bacteria?

b) Within what limits would you expect 95% of bacteria to fall?

c) What will be the 80th percentile of the distribution of the bacteria?

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