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Say, on average, 41.3 frogs cross a road during a 10-hour period of night. Frogs are...

Say, on average, 41.3 frogs cross a road during a 10-hour period of night. Frogs are not generally gregarious creatures, so they tend to cross one-by-one and independently. For example, the probability that a frog will cross during a one minute period is not influenced by whether a frog crossed in the previous minute. If the frogs cross the road at a constant average rate, what is the probability that exactly 12 frogs will cross in two hours?

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Answer #1

Let X denote the number of frogs crossing in a two-hour interval.

Then

Required probability =

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