Question

In: Statistics and Probability

The following data are results from a studying the effects of using four quarters or a...

The following data are results from a studying the effects of using four quarters or a $1 bill on keeping the money or spending it. 43 students were given the denominations.

Purchased Gum Kept the Money Total

Given Four Quarters 27 16

Given a $1 Bill 12 34

Total 43

(a) What are the two row totals?

(b) What are the two column totals?

(c) Find the probability (as a fraction and a decimal rounded to three places) of randomly selecting a student who spent the money, given that the student was given four quarters.

(d) Find the probability (as a fraction and a decimal rounded to three places) of randomly selecting a student who spent the money, given that the student was given a $1 bill.

(e) What do the preceding two results suggest?

Solutions

Expert Solution

Purchased Gum Kept the Money Total
Given Four Quarters 27 16 43
Given a $1 Bill 12 34 46
Total 39 50 89

(a) What are the two row totals?

answer:

43, 46

(b) What are the two column totals?

answer:

39, 50

(c) Find the probability (as a fraction and a decimal rounded to three places) of randomly selecting a student who spent the money, given that the student was given four quarters.

answer:

  • P(Spend the money | Four quarters) = 27 / (27 + 16) =27/43= 0.628

(d) Find the probability (as a fraction and a decimal rounded to three places) of randomly selecting a student who spent the money, given that the student was given a $1 bill.

answer:

P(Spend the money |given a $1 bill) = 12/(12+34)=12/46=0.261

(e) What do the preceding two results suggest?

answer:
result suggest that if student is given 4 quarter , he is more likely to spent the money

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