Q1) Amount of time university professors devote to their jobs per week is normally distributed with mean of 52 hours and standard deviation of 6 hours.
a) Find out the probability that professor works for more than 60 hours per week?
b) Determine the probability that mean amount of work per week for 3 randomly selected professors is more than 60 hours.
c) Determine probability that if 3 professors are randomly selected, all three work for more than 60 hours per week.
Heights of North American women are normally distributed with mean of 64 inches and a standard deviation of 2 inches
a) Determine the probability that randomly selected women is taller than 66 inches?
b) Random sample of four women is selected. Find out the probability that sample mean height is greater than 66 inches?
c) Determine the probability that mean height of random sample of 100 women is greater than 66 inches?