The average number of moves a person makes in his or her lifetime is12 and the standard deviation is3.4.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 intermediatez value calculations to two decimal places.

a. Find the probability that the mean of a sample of25 people is less than 10.

P( x < 10 ) =

b. Find the probability that the mean of a sample of25 people is greater than10

P( x > 10 ) =

c. Find the probability that the mean of a sample of25 people is between11 and12.

P( 11 < x < 12 )