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In the following problem, check that it is appropriate to use the normal approximation to the...

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Statistics

In the following problem, check that it is appropriate to usethe normal approximation to the binomial. Then use the normaldistribution to estimate the requested probabilities.

Ocean fishing for billfish is very popular in the Cozumel region ofMexico. In the Cozumel region about 39% of strikes (while trolling)resulted in a catch. Suppose that on a given day a fleet of fishingboats got a total of 21 strikes. Find the following probabilities.(Round your answers to four decimal places.)

(a) 12 or fewer fish were caught

(b) 5 or more fish were caught

(c) between 5 and 12 fish were caught

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