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On an average, the number of students that choose to study arts subjects at greyin tide university is 17 each year.what is the probability that exactly 13 students will take up arts in the coming year?

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altavistard
Unfortunately, the number of students enrolled is not known.  This must be known to calculate a numerical probability.

Suppose that there are 1000 students at the university.  Then the probability that a given student picked at random is taking an art course is 17/1000, or 0.017.

Hopefully you have a calculator capable of calculating binomial probability (which is what is involved here).

The following function should give you your answer:

binompdf(1000, 0.017, 13) = 0.0657, or roughly 7%.  The probability that 13 out of 1000 students will be taking an arts course during a given year is roughly 7%.

The probability that exactly 13 students will take up arts in the coming year is; 76.47%

What is the probability?

We are given;

Number of students that study art each year = 17

Now, we want to find the probability that 13 students will take up arts in the following year. This is;

P(13 will take art the next year) = 13/17 * 100%

P(13 will take art the next year) = 76.47%

Read more about Probability at; https://brainly.com/question/251701

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