Parking meters in a beach resort town cost $25¢$ for every $15$ minutes. A normal distribution with a mean of $$10$ and a standard deviation of $$2$ can be used to model the amount of money one parking meter makes on a busy summer day. Homework Help ✎

1. Make a graph of the distribution of the money made by one parking meter on your calculator, then sketch it. An appropriate value for the maximum of the relative frequency axis is $\text{Ymax}= 0.25$.

2. From your graph, visually estimate where the middle $90$% of meter earnings fall. Shade this portion of your sketch.

3. Use your calculator to check your estimate. How close to $90$% did you come?

   Hint (c):

   $\text{normalcdf (lower estimate, upper estimate}, 10, 2) = 0.90$