Question: The mean of a population is 76 and the standard deviation is 14. The shape of the population is unknown. Determine the probability of each of the following occurring from this population

a. A random sample of size 35 yielding a sample mean of 79 or more.

b. A random sample of size 140 yielding a sample mean of between 74 and 77.

c. A random sample of size 219 yielding a sample mean of less than 76.5