## The Normal Distribution: Exercise #1

**Objective:** Compute probabilities and quantiles from a normal distribution.

**Problem Description:** The target value for the thickness of a machined cylinder is 8cm. The upper specification limit is 8.2cm and the lower specification limit is 7.9cm. A machine produces cylinders that have a mean thickness of 8.1cm an
d a standard deviation of 0.1cm.

The following normal Java applet displays the probabilities of a normal random variable, *X*, with a mean of 8.1cm and a standard deviation of 0.1cm. Use this applet to answer the questions below.