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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.

Respuesta :

Answer:

[tex]P(X = 4) = 0.2222[/tex]

[tex]P(X = 5) = 0.25[/tex]

[tex]P(X = 6) = 0.2639[/tex]

[tex]P(X = 7) = 0.2639[/tex]

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

[tex]P(X = 4) = \frac{16}{72} = 0.2222[/tex]

[tex]P(X = 5) = \frac{18}{72} = 0.25[/tex]

[tex]P(X = 6) = \frac{19}{72} = 0.2639[/tex]

[tex]P(X = 7) = \frac{19}{72} = 0.2639[/tex]

akposevictor

The discrete probability distribution for random variable X is:

  • P(X = 4) = 0.22
  • P(X = 5) = 0.25
  • P(X = 6) = 0.26
  • P(X = 7) = 0.26

What is a Discrete Probability Distribution?

A discrete probability distribution is one that takes into account only outcomes that are countable or finite.

Relative frequency is a discrete probability distribution.

Thus, find the relative frequency for each of the given event:

Number of events = 16 + 18 + 19 + 19 = 72 events.

Therefore, the discrete probability distribution for random variable X is:

P(X = 4) = 16/72 = 0.22

P(X = 5) = 18/72 = 0.25

P(X = 6) = 19/72 = 0.26

P(X = 7) = 19/72 = 0.26

Learn more about discrete probability distribution on:

https://brainly.com/question/24802582

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