### Home > INT3 > Chapter 6 > Lesson 6.3.1 > Problem6-86

6-86.

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?

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

Use the eTool below to help solve parts (a) through (c).
Click the link at right for the full eTool version: INT3 6-86 HW eTool