Question

The average number of miles driven on a full tank of gas in a certain model car before its ow-fuel light comes on is 338. Assume this mileage follows the normal distibution with a standard deviation of 27 miles. 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 364 miles on the next tank of gas? 

_______ 

Answer 1

Given that ,

mean = $\mu$ = 338

standard deviation = $\sigma$ = 27

P(x < 364) = P((x - $\mu$ ) / $\sigma$ < (364 - 338) / 27)

= P(z < 0.9630)

= 0.8322

Probability = 0.8322