A sports writer wants to learn about the distribution of games per Wold Series. Let W be the number of games that are played per best of seven World Series. Results from the last 107 World Series, which can be assumed to be enough, follow:

No. of games played in a best of seven World Series (w)

World Series

4

19

5

27

6

24

7

36

8

1

Use the above table to answer the following questions:

Explain what type of random variable W is.

Find its sample space and probability distribution.

Find its mean value and describe it in terms of the problem.

Thank you for the opportunity to help you with your question!

1. W is a discrete random variable because it is countable number of distinct values.

2. Sample space represents the sum of all possible outcomes. In
this question our sample space = {4, 5, 6, 7, 8}, i.e., in case World Series
takes place either 4,5,6,7 or 8 games will be played.

Probability distribution

w

4

5

6

7

8

P(w)

0.18

0.25

0.22

0.34

0.01

Workings

19/107=0.18, 27/107=0.25, 24/107=0.22, 36/107= 0.34 and
1/107=0.01