The Economic Policy Institute periodically issues reports on life expectancy. The institute reported that the mean life expectancy in the United States is 78 (Economic Policy Institute website, March 30, 2019). A random sample of 64 individuals has been taken. Assume the standard deviation is 6 years and that the population size is "large" (meaning the finite population factor does not apply).

1. What is the probability that the sample mean will be larger than 80 years?

2. What is the probability that the sample mean will be less than 76.5 years?