Problem: Weighty behavior. Choose an adult in the United States at random and ask, "How many days per week do you lift weights?" Call the response X for short. Based on a large sample survey, here is a probability model for the answer you will get:
Days
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
Probability
|
0.73
|
0.06
|
0.06
|
0.06
|
0.04
|
0.02
|
0.01
|
0.02
|
Required:
(i) Verify that this is a legitimate finite probability model.
(ii) Describe the event X
(iii) Express the event "lifted weights at least once" in terms of X. What is the probability of this event?