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 | 33 | 19 |\n| students given a $1 bill | 16 | 25 |\n\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.\nthe probability is \n(round to three decimal places as needed.)\n\nb. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.\nthe probability is \n(round to three decimal places as needed.)\n\nc. what do the preceding results suggest?\na. a student given four quarters is more likely to have kept the money than a student given a $1 bill\nb. a student given four quarters is more likely to have spent the money than a student given a $1 bill.\nc. a student given four quarters is more likely to have kept the money\nd. a student given four quarters is more likely to have spent 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 | 33 | 19 |\n| students given a $1 bill | 16 | 25 |\n\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.\nthe probability is \n(round to three decimal places as needed.)\n\nb. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.\nthe probability is \n(round to three decimal places as needed.)\n\nc. what do the preceding results suggest?\na. a student given four quarters is more likely to have kept the money than a student given a $1 bill\nb. a student given four quarters is more likely to have spent the money than a student given a $1 bill.\nc. a student given four quarters is more likely to have kept the money\nd. a student given four quarters is more likely to have spent the money

Answer

Explanation:

Step1: Calculate total students given four - quarters

The total number of students given four quarters is (33 + 19=52).

Step2: Calculate probability of spending money given four - quarters

The number of students who spent money (purchased gum) and were given four quarters is 33. The probability (P(\text{spent}|\text{four quarters})) is (\frac{33}{52}\approx0.635).

Step3: Calculate probability of keeping money given four - quarters

The number of students who kept money and were given four quarters is 19. The probability (P(\text{kept}|\text{four quarters})) is (\frac{19}{52}\approx0.365).

Step4: Analyze the results

The probability that a student given four quarters spent the money ((0.635)) is higher than the probability that a student given a ($1) bill spent the money ((\frac{16}{16 + 25}=\frac{16}{41}\approx0.390)).

Answer:

a. (0.635) b. (0.365) c. B. A student given four quarters is more likely to have spent the money than a student given a ($1) bill.