1
Chapter 5.1 # 7, 9, 11, 13, 15, 17, 19, 25, 27
For exercises 6 through 11, determine whether the distribution represents a probability
distribution. If it does not, state why.
7.
No, we cannot have negative numbers, and P(x) does not equal 1.
9.
=
10
10
= 1, yes 1.
Each P(x) is between 0 and 1.
10
( )
1
10
p x
∑
=
=
.
11.
2 1
=
≠
, No, not equal to 1.
1. P(x) = 1.2 is not between 0 and 1, 2.
( )
2 1
p x
∑
=
For Exercises 12 through 18, state whether the variable is discrete or continuous.
13.
The number of cheeseburgers a fast-food restaurant serves each day.
Discrete
15. The weight of a Siberian tiger.
Continuous
17.
The number of mathematics majors in your school.
Discrete
For Exercises 19 through 26, construct a probability distribution for the data and draw a graph for
the distribution.
19.
Medical tests
the probabilities that a patient will have 0, 1, 2, or 3 medical tests performed on
entering a hospital are
6
5
3
1
,
,
,
15 15 15
15
and
respectively.
X
3
6
8
12
P(x
)
0.
3
0.
5
0.
7
-0.8
X
1
2
3
4
5
P(x
)
X
5
10
15
P(x
)
1.
2
0.
3
0.5