Dr. G, the principal at Westside High School Academy, is worried that the students who win academic awards might also be more likely to win awards in the Fine Arts. He would like to spread out the awards. Out of the students, students have won academic awards of some sort and students have won Fine Arts awards. Eight students have won both kinds of awards. Does Dr. G have anything to worry about? Justify your answer.

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25-03-2020
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Dr. G, the principal at Westside High School Academy, is worried that the students who win academic awards might also be more likely to win awards in the Fine Arts. He would like to spread out the awards. Out of the students, students have won academic awards of some sort and students have won Fine Arts awards. Eight students have won both kinds of awards. Does Dr. G have anything to worry about? Justify your answer.

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thamimspartan thamimspartan · Answer 1 · 2020-04-02T16:20:21+02:00

No, Dr G has nothing to worry about because only 8 students won the academic as well as fine arts award out of 128 academic award winners. This corresponds to very low percentage of joint winners out of just academic award winners (0.0625%)

Explanation:

Total students in the Westside High School- 768

Winner of academic awards- 128

Winner of fine arts awards- 48

Students who won both awards- 8

Dr G pre assumption= Dr G was worried that winner of academic awards would win fine awards more likely.

But it seems that his assumtions are wrong since only 8 students out of 128 students won joint awards (meaning only 8 students won awards for fine arts as well as academic awards). Similarly, this corresponds to only 0.0625% of students winning academic awards as well as Fine arts awards.