A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type in the northern region is approximately normal with mean 10 ounces and standard deviation 3 ounces. The distribution of weight for birds of this type in the southern region is approximately normal with mean 16 ounces and standard deviation 2.5 ounces.(a) Calculate the z-scores for a weight of 13 ounces for a bird living in the northern region and for a weight of 13 ounces for a bird living in the southern region.(b) Is it more likely that a bird of this type with a weight greater than 13 ounces lives in the northern region or the southern region? Justify your answer. (c) This type of bird can also be found in another state. Suppose the distribution of the weight for birds in the other state is approximately normal. A bird with a weight of 13 ounces is at the 70th percentile. Interpret the percentile in context. If the standard deviation is 2 ounces what is the mean weight of this type of bird in the state?