1. Suppose the average annual in state tuition and required fees for a public 4-year institutions follows a normal distribution with a population mean of $9,329 and population standard deviation of $1865.

a. What is the probability that a randomly selected public 4- year institution cost more than $17,000 in a year?

b. What proportion of public 4- year institutions cost between $7500 to $12500 per year?

c. What is the interquartile range of public 4- year institution cost?

d. What cost would place a public 4-year institution into the lowest 10%?