in an experiment, college students were given either four quarters or a $1 bill and they could either keep…

in an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. the results are summarized in the table. complete parts (a) through (c) below.\n| | purchased gum | kept the money |\n|--|--|--|\n| students given four quarters | 25 | 14 |\n| students given a $1 bill | 16 | 35 |\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. the probability is 0.641 (round to three decimal places as needed.)\nb. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. the probability is 0.359 (round to three decimal places as needed.)\nc. what do the preceding results suggest?\na. a student given four quarters is more likely to have spent the money than a student given a $1 bill\nb. a student given four quarters is more likely to have spent the money\nc. a student given four quarters is more likely to have kept the money than a student given a $1 bill\nd. a student given four quarters is more likely to have kept the money

in an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. the results are summarized in the table. complete parts (a) through (c) below.\n| | purchased gum | kept the money |\n|--|--|--|\n| students given four quarters | 25 | 14 |\n| students given a $1 bill | 16 | 35 |\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. the probability is 0.641 (round to three decimal places as needed.)\nb. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. the probability is 0.359 (round to three decimal places as needed.)\nc. what do the preceding results suggest?\na. a student given four quarters is more likely to have spent the money than a student given a $1 bill\nb. a student given four quarters is more likely to have spent the money\nc. a student given four quarters is more likely to have kept the money than a student given a $1 bill\nd. a student given four quarters is more likely to have kept the money

Answer

Explanation:

Step1: Identify relevant numbers for part a

For students given four - quarters, number of students who spent money = 25, total number of students given four - quarters = 25 + 14 = 39. Probability = $\frac{25}{39}\approx0.641$

Step2: Identify relevant numbers for part b

For students given four - quarters, number of students who kept money = 14, total number of students given four - quarters = 25+14 = 39. Probability = $\frac{14}{39}\approx0.359$

Step3: Analyze part c

Probability of spending money for students given four - quarters is 0.641. Probability of spending money for students given a $1 bill is $\frac{16}{16 + 35}=\frac{16}{51}\approx0.314$. Since 0.641>0.314, a student given four quarters is more likely to have spent the money.

Answer:

a. 0.641 b. 0.359 c. B. A student given four quarters is more likely to have spent the money