Question

In: Statistics and Probability

The average number of miles driven on a full tank of gas in a certain model...

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?

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