# 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.

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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