According to a survey by Kaiser Family Foundation, employers paid an average of $7954 per employee in annual premiums to provide family health care for their employees, and each worker paid an average of $2080 toward these premiums(USA TODAY, September 6, 2002). Assume that the current annual premiums paid by all workers for family health coverage are normally distributed with a mean of $2080 and a standard deviation of $300.
a. What is the probability that a worker pays lees than $1730 per year for the family health coverage premium?
b. What percentage of the workers is paying between $1800 and $2400 per year toward the family health coverage premium?
c. What is the probability that a worker pays more than $2500 towards the family health coverage premium?
d. What percentage of the workers paid less than $2080 for their family health coverage premium?
e. What percentage of the workers paid more than $2080 for their family health coverage premium?