1. 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 a certain region of Mexico. In this region about 41% of strikes (while trolling) resulted in a catch. Suppose that on a given day a fleet of fishing boats got a total of 27 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

2.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 105; = 10. P(x 90) =_______

3.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 4.5; = 1.3 P(7 x 9) =_________