The graph above shows the normal distribution for highway gasoline consumption with a mean of $\mu \approx 31.08$ mpg and a standard deviation of $\sigma \approx 3.65$ mpg.

• The orange shaded region represents the probability that the gasoline consumption is more than 28 mpg, which is 80% of the time.
• The green shaded region shows the probability that consumption is more than 32 mpg, which occurs 40% of the time.
• The red dashed line indicates the mean gasoline consumption at about 31.08 mpg.

Would you like further clarification or additional details?

Here are five related questions to consider:

1. How does the standard deviation impact the shape of the normal distribution?
2. How can we find probabilities for values other than 28 mpg and 32 mpg?
3. What if we know the mpg range and need to find the probability?
4. How would changing the standard deviation affect the 80% and 40% probabilities?
5. How could you interpret the relationship between mean mpg and the car’s performance?

Tip: In a normal distribution, around 68% of values lie within one standard deviation of the mean.