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 child-care 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 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 Dela-ware should charge for an infant.