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The mean number of days with 0.01 inch or more precipitation per month for Lewiston, Idaho, is about 8.7. Find the probability that in a given month:

a) there are exactly 9 days with 0.01 inch or more precipitation,

b) there are at most 9 days with 0.01 inch or more precipitation, and

c) there are more than 9 days with 0.01 inch or more precipitation.

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