In: Statistics and Probability
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 341. Assume this mileage follows the normal distribution with a standard deviation of 39 miles. Must show ALL calculations by use of formulas ONLY, no Excel use.
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 369 miles on the next tank of gas?
b. What is the probability that, before the low-fuel light comes on, the car will travel more than 248 miles on the next tank of gas?
c. What is the probability that, before the low-fuel light comes on, the car will travel between 259 and 279 miles on the next tank of gas?
d. What is the probability that, before the low-fuel light comes on, the car will travel exactly 279 miles on the next tank of gas?