Question

A certain car model has a mean gas mileage of 34 miles per gallon with a standard deviation of 4 mpg. A pizza delivery conpany buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and 34.3 mpg?

Answer 1

solution + Given the information He mean gas asleage 34 miles per gallon 6s standard deviation = 4 meg na54 Loldet : Average mileage 7o find the poobability that the average I mileage of the feet is between 33.3 and 34.3 mpg. j.e. to find P(33.3.x < 34. 3. Here n = 54 > 30 that we will central limit theorem these probability P(33.3 <ă <34-3) = P(33; 3303_n + x-u, 23408-4 61 P(333-34 4243403-34 X-4 Z 4154 BV so twe can find آره J. = P(-1.29 <z20:55) E plz 20:55 )-PLZ 2-1:29) I: 2019575 - pizza Placz<b) = PIZSb) - PI259) = 0.7088 0.0985 = 0.6103 726323 2433.8 < X <34. 3) = 0.6703 7 porobabilit that the average mileage of the feet is between 3303 34.3 mpg is 20.610 and 61037