Show work and answer, Round off answers to 4th decimal

opulation has a mean of 150 and a standard deviation of 44. Suppose a sample of size 121 is selected and x-bar is used to estimate It What is the probability that the sample mean will be within i3 of the population mean? (5 points) What is the probability that the sample mean will be within :7 of the population mean? (5 points) What is the probability that the sample mean will be greater than 148? (5 points) What is the probability that the sample mean will be less than 145? (5 points)