Refer to Exercise 33. A random sample of 12 Sandhill Cranes is selected from the study. Find the probability that the mean distance traveled of the sample is
(a) Less than 200 kilometers,
(b) Between 250 and 350 kilometers, and
(c) Greater than 500 kilometers, and
(d) Compare your answers with those in Exercise 33.
Find the indicated probabilities and interpret the results. If convenient, use technology to find the probabilities.
Exercise 33
In a study of migrating Sandhill Cranes, the distances traveled in a day were normally distributed, with a mean of 267 kilometers and a standard deviation of 86 kilometers. Find the probability that the distance traveled in a day by a randomly selected Sandhill Crane from the study is
(a) Less than 200 kilometers.
(b) Between 250 and 350 kilometers.
(c) Greater than 500 kilometers.
Find the indicated probabilities. If convenient, use technology to find the probabilities.