The MPG (Miles per Gallon)for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8.What is the probability that the MPG for a selected mid-size car would be: Less than 33.2?
A)43.32%
B)6.68%
C)93.32%
D)86.64%
E)13.36%

Question

Quizplus · Accepted Answer

To find the probability that the MPG for a selected mid-size car is less than 33.2, we need to standardize the value using z-score formula.
z=(x-μ)/σ 
where x=33.2,μ=32, and σ=0.8
z=(33.2-32)/0.8=1.5
Using the standard normal distribution table or calculator, we find the probability that z is less than 1.5 to be 0.9332 or 93.32%. Therefore, the probability that the MPG for a selected mid-size car would be less than 33.2 is 93.32%.

The MPG (Miles Per Gallon)for a Mid-Size Car Is Normally