lillianamariearmijo1
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Three hundred tenured professors at Florida Universities are randomly sampled and are asked: "On what day of the week were you born?” The results are in the table below. Assuming that each weekday has an equal theoretical probability, which day of the week has the most unusual observed frequency in this sample?

Sun: 36
Mon: 42
Tue: 60
Wed: 42
Thu: 57
Fri: 30
Sat: 33​

Respuesta :

Answer:

the answer is Tuesday

Step-by-step explanation:

Using the binomial distribution, it is found that since the number that has the biggest absolute difference from 42.9 is 60, hence Tuesday has the most unusual observed frequency in this sample.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

In this problem:

  • 300 professors are asked, hence n = 300.
  • All the days are equally as likely, hence p = 1/7.

For each weekday, the expected value of births is:

[tex]E(X) = np = \frac{300}{7} = 42.9[/tex]

The number that has the biggest absolute difference from 42.9 is 60, hence Tuesday has the most unusual observed frequency in this sample.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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