According to the National Association of Childcare Resources and Referral Agencies, the average cost of care for an infant in a child care center in Delaware was $ 8,769 a year. Assume this cost follows a normal distribution with a standard deviation of $ 925.

a. What is the probability that a randomly selected childcare center in Delaware costs

1. More than $ 8,000 per year for infant care?

2. More than $ 9,000 per year for infant care?

3. Between $ 8,500 and $ 9,500 per year for infant care?

b. Use Excel or PHStat to confirm the answers in part a.

c. Determine the rate a child care center that wishes to be in the 60th percentile in the state of Delaware should charge for an infant.