A stick of length 1 is broken at a point chosen uniformly along its length. One piece is used as the length of a rectangle, and the other is used as the width. Find the mean area of a rectangle formed in this way.
What will be an ideal response?
Let U be the length of the part of the stick used as the length of the rectangle. Then the width is 1 ? U, so the
area is U (1 ? U).
Since U ~ U (0, 1), the probability density function of U is f (u) = 1 for 0 < u < 1 and f (u) = 0 otherwise.
The mean area is therefore 
You might also like to view...
A(n) ____________________ is a common name for a part while it is still in the fabrication process, that is, before it is a finished part.
Fill in the blank(s) with the appropriate word(s).
In a steep roof, which of the following flashings is made from sheet metal?
A) Step flashing B) Apron flashing C) Cricket flashing D) All of the above E) Only A and C
About two weeks after planting, the plants are
What will be an ideal response?
Brush polarity markings are often omitted, but the electrician can easily determine electrical polarity by connecting a(n) ____________________ across the output leads of the generator.
Fill in the blank(s) with the appropriate word(s).