STAT 410
Spring 2008
Homework #6
(due Friday, February 29, by 3:00 p.m.)
1.
One piece of PVC pipe is to be inserted inside another piece. The length of the first
piece is normally distributed with mean value 20 in. and standard deviation 0.7 in.
The length of the second piece is a normal random variable with mean and standard
deviation 15 in. and 0.6 in., respectively. The amount of overlap is normally
distributed with mean value 1 in. and standard deviation 0.2 in. Assuming that the
lengths and amount of overlap are independent of one another, what is the probability
that the total length after insertion is between 32.65 in. and 35.35 in.?
2.
a) At Anytown College, the heights of female students are normally distributed with
mean 66 inches and standard deviation 1.5 inches. The heights of male students are
also normally distributed with mean 69 inches and standard deviation 2 inches.
For Homecoming, a male student and a female student are selected independently
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Monrad
 Normal Distribution, Standard Deviation, Probability theory, bivariate normal distribution, The Queen, Multivariate normal distribution

Click to edit the document details