I verify that this is a legitimate finite probability model


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?

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Basic Statistics: I verify that this is a legitimate finite probability model
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