Private nonprofit four-year colleges charge, on average, $26,508 per year in tuition and fees. The standard deviation is $6,881. Assume the distribution is normal. Let X be the cost for a randomly selected college. (Formatting hint: N(mean, sd) where N a. What is the distribution of X? X - N( = "Normal") b. Find the probability that a randomly selected private nonprofit four-year college will cost less than $27,879 per year. Round answer to 4 decimal places. c. Find the 60th percentile for this distribution. S Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint Submit Question (Round to the nearest dollar.)

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