In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Ocean fishing for...

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


Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region about 45% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 30 strikes. Find the following probabilities. (Round your answers to four decimal places.)