In 2011, the average amount of time to foreclose on a house in the U.S. was reported to be 438 days. Assume that the standard deviation for this population is 126.5 days. A random sample of 50 homes that have completed the foreclosure process was selected. What is the probability that the sample average was less than 450 days?

a) 0.0129

b) 0.6179

c) 0.7486

d) 0.8686