A map of a town has no scale. The actual distance between the school and the mall in the town is 5 mi., which is shown on the map as 2 in. The distance from the school to the library on the map is 1 1/2 in. What is the actual distance in miles between the school and the library?

A. 3 3/4 mi.
B. 4 mi.
C. 6 2/3 mi.
D. 15 mi.

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.