When I was 16 I drove a Dodge Colt. The gas gauge was empty, but I knew the dist

Question

When I was 16 I drove a Dodge Colt. The gas gauge was empty, but I knew the distance it could go on a tank of gas is normally distributed with a mean of 320 miles and a standard deviation of 15 miles. What is the probability that the next tank will go for 310 miles? What is the probability that the next tank will go for less than 301.4 miles? There's no way to guarantee I'll never run out of gas, but I want to make sure it only happens 5% of the time. How many miles do I dare drive before filling up again?

Explanation / Answer

Using standard equations for normal distribution, a) 1- 0.2525 = 0.7475 b) 0.107 c) 295.327 miles

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