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a. Find the probability that a single randomly selected first-time vehicle purchase is less than $6050. (Round to 4 decimal places.) b. The cost of the middle 40% of first-time vehicle purchases falls between (round to the nearest dollar): $ to $ c. If a random sample of 40 first-time vehicle purchasers is selected, what is the probability that the sample average amount spent is between $4950 and $5200? (Round to 4 decimal places.)

a. Find the probability that a single randomly selected first-time vehicle purchase is less than $6050. (Round to 4 decimal places.) b. The cost of the middle 40% of first-time vehicle purchases falls between (round to the nearest dollar): $ to $ c. If a random sample of 40 first-time vehicle purchasers is selected, what is the probability that the sample average amount spent is between $4950 and $5200? (Round to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Rachel is conducting market research on the amount typically spent on the purchase of a first vehicle. Rachel has determined that the average cost of a first vehicle is $5000, and that the distribution of costs is normally distributed with a standard deviation of $620. a. Find the probability that a single randomly selected first-time vehicle purchase is less than $6050. (Round to 4 decimal places.) b. The cost of the middle 40% of first-time vehicle purchases falls between (round to the nearest dollar): $ to $ c. If a random sample of 40 first-time vehicle purchasers is selected, what is the probability that the sample average amount spent is between $4950 and $5200? (Round to 4 decimal places.)
Transcribed Image Text:Rachel is conducting market research on the amount typically spent on the purchase of a first vehicle. Rachel has determined that the average cost of a first vehicle is $5000, and that the distribution of costs is normally distributed with a standard deviation of $620. a. Find the probability that a single randomly selected first-time vehicle purchase is less than $6050. (Round to 4 decimal places.) b. The cost of the middle 40% of first-time vehicle purchases falls between (round to the nearest dollar): $ to $ c. If a random sample of 40 first-time vehicle purchasers is selected, what is the probability that the sample average amount spent is between $4950 and $5200? (Round to 4 decimal places.)
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