Private nonprofit four-year colleges charge, on average, $27,247 per year in tuition and fees. The standard deviation is $6,689. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 30,360 per year. c. Find the 71th percentile for this distribution. $ (Round to the nearest dollar.) Hint:

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Private nonprofit four-year colleges charge, on average, $27,247 per year in tuition and fees. The standard
deviation is $6,689. Assume the distribution is normal. Let X be the cost for a randomly selected college.
Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 30,360
per year.
c. Find the 71th percentile for this distribution. $
(Round to the nearest dollar.)
Hint:
Helpful videos:
• Find a Probability [+]
• Finding a Value Given a Probability [+]
Hint
Question Help: Message instructor
Submit Question
logi
*3
F2
F3
F5
F8
5
* CO
%24
* 3
2)
2
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $27,247 per year in tuition and fees. The standard deviation is $6,689. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 30,360 per year. c. Find the 71th percentile for this distribution. $ (Round to the nearest dollar.) Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question logi *3 F2 F3 F5 F8 5 * CO %24 * 3 2) 2
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