Question

The average gas mileage (mpg) for a Mazda CX-5 is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by Mazda have a gas mileage greater than 24?

Answer 1

Answer: The percentage of the vehicles produced by Mazda have a gas mileage greater than 24 = 84.13%

Explanation:

We assume that gas mileage is normal distribution.

Let x reprsents the gas mileage.

Given: Mean
`\mu` = 26 mpg , standard deviation
`\sigma` = mpg

The probability that the vehicles produced by Mazda have a gas mileage greater than 24:-

`P(x>24)=P((x-\mu)/(\sigma)>(24-26)/(2))\\\\=P(z>-1)\ \ \ [z=(x-\mu)/(\sigma)]\\\\=P(z<1)=0.8413`

Hence, the percentage of the vehicles produced by Mazda have a gas mileage greater than 24 = 84.13%