#1 A frequency distribution is shown below.

The number of televisions per household in a small town

Televisions	0	1	2	3
Households	20	441	724	1406

(a) Use the frequency distribution to construct a probability distribution.

x	P(x)
0
1
2
3

#2 28^C2 =

#3 Use the probability distribution to complete parts (a) through (d) below.

The probability distribution of number of televisions per household in a small town

x	0	1	2	3
P(x)	.02	.15	.28	.55

(a) Find the probability of randomly selecting a household that has one or two televisions.

(b) Find the probability of randomly selecting a household that has two or more televisions.

(c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive.

(d) Find the probability of randomly selecting a household that has at most two televisions.

#4 Determine the required value of the missing probability to make the distribution a discrete probability distribution.

x	P(x)
3	.31
4	?
5	.25
6	.21

P(4)=?

#5 Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student

Activities	0	1	2	3	4	5	6	7
Probability	.059	.121	.161	.179	.213	.128	.086	.053

(a) Find the mean, variance, and standard deviation of the probability distribution.

(b) Interpret the results.

#6 The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level.

Hurricanes

Category	1	2	3	4	5
Probability	.407	.254	.216	.114	.009

(a) Find the mean, variance, and standard deviation of the probability distribution.

(b) Interpret the results