Question

The following data represent the number of games played in each series of an annual tournament from 1929 to 2001. Complete parts​ (a) through​ (d) below.
x​ (games played) 4 5 6 7
Frequency 16 18 19 19 ​
(a) Construct a discrete probability distribution for the random variable x.

Answer 1

Answer:

$P(X = 4) = 0.2222$

$P(X = 5) = 0.25$

$P(X = 6) = 0.2639$

$P(X = 7) = 0.2639$

Step-by-step explanation:

We have to find the relative frequency for each event.

The relative frequency of a event is the number of times the event event happened by the total number of events.

There are 16+18+19+19 = 72 events.

X can be 4,5,6 or 7.

We have that

$P(X = 4) = \frac{16}{72} = 0.2222$

$P(X = 5) = \frac{18}{72} = 0.25$

$P(X = 6) = \frac{19}{72} = 0.2639$

$P(X = 7) = \frac{19}{72} = 0.2639$