A. Women's shoe sizes are (approximately) normallydistributed, with an average size of 8.076 and a standard deviationof 1.468. You work at Vogue Magazine, and would like to interviewsome women about how shoes fit. You take a random sample of 10women. What is the probability that the 10 women yousampled had an average shoe size that is greater than8?

B. The heights of NBAplayers are normally distributed, with an average height of 6'7"(i.e. 79 inches), and a standard deviation of 3.5". You take arandom sample of 8 players, and calculate their average height.What is the probability that this sample average is greaterthan 78 inches?