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The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 324. Assume this mileage follows the normal distribution with a standard deviation of 30 miles. Complete parts a through d below. a. What is the probability that, before the low-fuel light comes on, the car will travel less than 343 miles on the next tank of gas? (Round to four decimal places as needed.) b. What is the probability that, before the low-fuel light comes on, the car will travel more than 275 miles on the next tank of gas? (Round to four decimal places as needed.) c. What is the probability that, before the low-fuel light comes on, the car will travel between 269 and 289 miles on the next tank of gas? (Round to four decimal places as needed.) d. What is the probability that, before the low-fuel light comes on, the car will travel exactly 295 miles on the next tank of gas? (Round to four decimal places as needed.)

The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 324. Assume this mileage follows the normal distribution with a standard deviation of 30 miles. Complete parts a through d below. a. What is the probability that, before the low-fuel light comes on, the car will travel less than 343 miles on the next tank of gas? (Round to four decimal places as needed.) b. What is the probability that, before the low-fuel light comes on, the car will travel more than 275 miles on the next tank of gas? (Round to four decimal places as needed.) c. What is the probability that, before the low-fuel light comes on, the car will travel between 269 and 289 miles on the next tank of gas? (Round to four decimal places as needed.) d. What is the probability that, before the low-fuel light comes on, the car will travel exactly 295 miles on the next tank of gas? (Round to four decimal places as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 9CR
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The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 324. Assume this mileage follows the normal distribution with a standard deviation of 30 miles. Complete parts a through d below. a. What is the probability that, before the low-fuel light comes on, the car will travel less than 343 miles on the next tank of gas? (Round to four decimal places as needed.) b. What is the probability that, before the low-fuel light comes on, the car will travel more than 275 miles on the next tank of gas? (Round to four decimal places as needed.) c. What is the probability that, before the low-fuel light comes on, the car will travel between 269 and 289 miles on the next tank of gas? (Round to four decimal places as needed.) d. What is the probability that, before the low-fuel light comes on, the car will travel exactly 295 miles on the next tank of gas? (Round to four decimal places as needed.)
Transcribed Image Text:The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 324. Assume this mileage follows the normal distribution with a standard deviation of 30 miles. Complete parts a through d below. a. What is the probability that, before the low-fuel light comes on, the car will travel less than 343 miles on the next tank of gas? (Round to four decimal places as needed.) b. What is the probability that, before the low-fuel light comes on, the car will travel more than 275 miles on the next tank of gas? (Round to four decimal places as needed.) c. What is the probability that, before the low-fuel light comes on, the car will travel between 269 and 289 miles on the next tank of gas? (Round to four decimal places as needed.) d. What is the probability that, before the low-fuel light comes on, the car will travel exactly 295 miles on the next tank of gas? (Round to four decimal places as needed.)
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