In: Statistics and Probability
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?
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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