Problem 5.4 An imption is an irregular migration of birds to a region where they are not usually found. In North America, approximately every four years, there is a winter irruption that causes snowy owls to y south in larger numbers than usual. Many Ontarians were fortunate to sight a snowy owl in 2014. Suppose that the size of the body of a snowy owl is normally distributed with a mean of 61.5 cm and a standard deviation of 4.75 cm. (a) 'What proportion of snowy owls have a body larger than 65 cm? (b) What proportion of snowy owls have a body less than 55 cm? (c) W'e select randomly 10 snowy owls from this population. What is the expected number of snowy owls in this sample with a body larger than 55 cm? What is the probability that at most one snowy owl in the sample will have a body that is larger than 65 em? (d) Suppose that the standard deviation of the size of the body of a snowy owl has changed. However, it is still normally distributed with a mean of 61.5 cm. 1We know that 25% of the snowy owls are larger than 65 cm. What is the standard deviation of the size of the body of a snowy owl