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- A. Fill in the blanks. (Enter an exact positive number as an integer, fraction, or decimal.) In a normal distribution, x = −6 and z = 7. This tells you that x = −6 is standard deviations to the B. Fill in the blanks. (Enter an exact positive number as an integer, fraction, or decimal.) In a normal distribution, x = 3 and z = −1.5. This tells you that x = 3 is standard deviations to thePrivate nonprofit four-year colleges charge, on average, $27,395 per year in tuition and fees. The standard deviation is $6,852. 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 24,026 per year. c. Find the 66th percentile for this distribution. $ (Round to the nearest dollar.)The average student loan debt for college graduates is $25,050. Suppose that that distribution is normal and that the standard deviation is $10,900. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.a. What is the distribution of X? X ~ N(Correct,Correct) b Find the probability that the college graduate has between $17,600 and $32,450 in student loan debt. c. The middle 30% of college graduates' loan debt lies between what two numbers? Low: $ High: $
- 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) 2CNNBC recently reported that the mean annual cost of auto insurance is 1017 dollars. Assume the standard deviation is 249 dollars, and the cost is normally distributed. You take a simple random sample of 37 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of a? ¤ - N( c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $997.Private nonprofit four-year colleges charge, on average, $27,088 per year in tuition and fees. The standard deviation is $7,205. 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 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)
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