According to the Bureau of Labor Statistics, the unemployment rate for workers aged 20 to 24 in April 2018 was 6.7%. Consider a random sample of 110 workers from this age group.
a. What is the probability that the sample mean will be less than $70,000?
b. What is the probability that the sample mean will be more than $74,000?
c. What is the probability that the sample mean will be between $76,000 and $81,000.