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|28|17|\n|students given a $1 bill|16|34|\n\nthe probability is 0.622. (round to three decimal places as needed.)\n\n b. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.\nthe probability is 0.378. (round to three decimal places as needed.)\n\n c. what do the preceding results suggest?\na. a student given four quarters is more likely to have kept the money.\nb. a student given four quarters is more likely to have kept the money than a student given a $1 bill.\nc. a student given four quarters is more likely to have spent the money.\nd. a student given four quarters is more likely to have spent the money than a student given a $1 bill.

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|28|17|\n|students given a $1 bill|16|34|\n\nthe probability is 0.622. (round to three decimal places as needed.)\n\n b. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.\nthe probability is 0.378. (round to three decimal places as needed.)\n\n c. what do the preceding results suggest?\na. a student given four quarters is more likely to have kept the money.\nb. a student given four quarters is more likely to have kept the money than a student given a $1 bill.\nc. a student given four quarters is more likely to have spent the money.\nd. a student given four quarters is more likely to have spent the money than a student given a $1 bill.

Answer

Explanation:

Step1: Calculate total students given four - quarters

The number of students given four - quarters is (28 + 17=45).

Step2: Calculate probability of student given four - quarters keeping money

The probability of a student who was given four - quarters and kept the money is (\frac{17}{45}\approx0.378).

Step3: Analyze results

The probability of a student given four - quarters spending the money is (\frac{28}{45}\approx0.622), and the probability of a student given a ($1) bill spending the money is (\frac{16}{16 + 34}=\frac{16}{50}=0.32). Since (0.622>0.32), a student given four - quarters is more likely to have spent the money.

Answer:

C. A student given four quarters is more likely to have spent the money.