The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.8. Assume that the sample is taken from a large population and the correction factor can be...

The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.8. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z-value calculations to two decimal places.

a) Find the probability that the mean of a sample of 25 people is less than 10.

b) Find the probability that the mean of a sample of 25 people is greater than 10.

c) Find the probability that the mean of a sample of 25 people is between 11 and 12.