Question 2, 6.EOC.37-E > HW Score: 10%, 0.5 of 5 points Part 1 of 4 (9 Points: 0 of l Homework: Chapter 6 Homework According to a national agency, the average cost of care for an infant in a child-care center in a particular state was $8,895 per year. Assume this cost follows a normal distribution with a standard deviation of $875. a. What is the probability that a randomly selected child-care center in the state 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. Determine the rate a child-care center that wishes to be in the 90th percentile in the state should charge for an infant. a. 1. The probability is . (Round to four decimal places as needed.)