A teacher is told he will have 20 students in his first-period class this year. He wants to predict the birthday month of his students, so he decides to run a simulation where January = 1, February = 2, etc. Use the simulated results to estimate the probability that a randomly picked student will have a September birthday.

9 6 5 8 9 2 4 10 9 7 2 10 12 6 9 2 9 11 1 3

Respuesta :

Answer:

[tex]P = 0.25[/tex]

Step-by-step explanation:

The simulation shows a result composed of 20 data.

If January represents month 1 and February represents month 2 then September is represented by number 9.

According to this simulation, the probability of a randomly selected student having birthdays in September is:

[tex]P = \frac{X_9}{20}[/tex]

Where [tex]X_9[/tex] is the frequency of 9. That is, [tex]X_9[/tex] is the number of times the number 9 appears among the 20 data

Therefore:

[tex]P = \frac{5}{20}[/tex]

[tex]P = \frac{1}{4}[/tex]

[tex]P = 0.25[/tex]

Answer:

0.25

Step-by-step explanation:

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