Question 2.16
Facts: A density curve always has an area of 1 under it.
Uniform means “the same.”
At the top of page 92 it says:
The density curve of the outcomes has a constant height between 0 and 2
and 0 elsewhere.
This tells us that we need a curve that has a constant height, between 0 and 2. If
the height is constant, it must be a horizontal line. If it is from 0 to 2, but the
area must equal 1, it must be at a height of ½. This would give you a rectangle
with a length of 2 but a height of ½ : total area = 1.
1
a.
½
0
b.
c.
d.
1
2
50% of the outcomes are less than 1,
M = 1, Q1 = .5, Q3 = 1.5
For .5 < X < 1.3, the proportion is the length (.8) times the height (.5) = .4
or 40%.