Question

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

Answer 1

0.25

Explanation:

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Answer 2

`P = 0.25`

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:

`P = (X_9)/(20)`

Where
`X_9` is the frequency of 9. That is,
`X_9` is the number of times the number 9 appears among the 20 data

Therefore:

`P = (5)/(20)`

`P = (1)/(4)`

`P = 0.25`