$Statistics and Probability$

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$Statistics and Probability$

Check attachment for the questions. Please show work so I can understand 🙏

Probability Statistics Word Problem

Matchmaticians Alumnus

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Answer 1

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1. The percentile ranking for the men's team is $1 - 7/50 = 86\%$ while the percentile ranking for the women's team is $1 - 3/34 = 91.2\%$. Thus the women's team has a higher percentile ranking.

2. There are $\binom{20}{5} = 15504$ ways to choose $5$ students from $20$. Similarly, there are $\binom{6}{5} = 6$ ways to choose $5$ math majors out of the $6$ available. The probability is thus $6/15504 = 0.039\%$.

Let me know if any of this is unclear.

Blue

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Matchmaticians Alumnus

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The 1st one is very clear. Thank you. What formula was used for the 2nd one? That's the ine I had the most trouble with. Thanks again!
Matchmaticians Alumnus

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And the probability seems wrong as well. Is it not 0.00039? Just trying to understand.
Blue

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The formula for the amount of ways choosing n objects from a set of k objects is nCk (read "n choose k") = n!/((n-k)! * k!). Also, 0.00039 = 0.039%
Matchmaticians Alumnus

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Ok thank you so much for the help!

$Statistics and Probability$

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