1)Tina's application for graduate school was ranked 67 out of 456 applications

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1)Tina's application for graduate school was ranked 67 out of 456 applications. Her twin sister's application to a different graduate school was ranked 17 out of 89 applications.

   a)  Which sister had the higher percentile ranking?

 

b)       If you had the data on the cumulative GPA of each student in each school in June 2019, which measure of average would be the most meaningful - mean, median, mode? Explain.

 

 

2)     A jury pool consists of 9 men and 11 women. The jury will be made up of 12 jurors. 

a.     If one person from among 5 court officers (3 women and 3 men) is chosen at random from to draw the names out of a hat, what is the probability that the person chosen to draw the names is a man?

b.     How many ways can the jury be formed if there are no restrictions on composition?

c.      How many ways can 8 women be chosen?

d.     How many ways can 4 men be chosen?

e.     What is the probability that the random selection of the jury will result in half women and half men?