Question

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 385. Assume this mileage follows the normal distribution with a standard deviation of 31 miles.

What is the probability that, before the low-fuel light comes on, the car will travel exactly 359 miles on the next tank of gas?

Note that there in no area under a curve at a specific value. That is, if you think of a rectangle as the area under the curve, the width would be zero and so the area would be zero. With this information, find the probability.

Step 1

We are given,

X : mileage , which follows normal distribution with

Mean = μ = 385

Standard deviation = σ = 31

Step 2

We have to find the probability that, before the low-fuel light comes on, the car will travel exactly 359 miles on the next tank of gas.

That is, We have to find P(x = 359) = …………..?

We know, The probability tha...

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