Question

Individual gas mileages (in miles per gallon) of Model Extra SS (Extra Super-Sporty) sedans are normally distributed with a population mean of 20 and a population standard deviation of 2. Based on these information, if you bought a Model Extra SS sedan, what is the probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5

Answer 1

Answer: 0.1974

Step-by-step explanation:

Let X be a random variable that denotes the gas mileage (in miles per gallon) of the individual sedan.

Given: Population mean: $\mu=20$

Standard deviation: $\sigma=2$

The probability that the gas mileage (in miles per gallon) of your single, individual sedan is between 19.5 and 20.5:

$P(19.5$

The required probability=0.1974