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\n| |purchased gum|kept the money|\n|--|--|--|\n|students given four quarters|28|17|\n|students given a $1 bill|15|34|\n\nthe probability is 0.622 (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.\n\nthe probability is 0.378 (round to three decimal places as needed.)\n\nc. what do the preceding results suggest?\n\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\n| |purchased gum|kept the money|\n|--|--|--|\n|students given four quarters|28|17|\n|students given a $1 bill|15|34|\n\nthe probability is 0.622 (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.\n\nthe probability is 0.378 (round to three decimal places as needed.)\n\nc. what do the preceding results suggest?\n\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: Analyze probabilities for four - quarters case

For students given four quarters, the number of students who purchased gum is 28 and who kept the money is 17. The total number of students given four quarters is (28 + 17=45).

Step2: Calculate probability of keeping money for four - quarters case

The probability of a student who was given four quarters and kept the money is (P=\frac{17}{45}\approx0.378). For students given a $1 bill, the number of students who purchased gum is 15 and who kept the money is 34. The total number of students given a $1 bill is (15 + 34 = 49). The probability of a student who was given a $1 bill and kept the money is (P=\frac{34}{49}\approx0.694). The probability of a student who was given four quarters and purchased gum is (\frac{28}{45}\approx0.622).

Step3: Compare probabilities

Since (0.622>0.378) for the four - quarters case (probability of spending vs keeping) and (0.622>\frac{15}{49}\approx0.306) (probability of spending for four - quarters vs $1 bill case) and (0.378<\frac{34}{49}\approx0.694) (probability of keeping for four - quarters vs $1 bill case), 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.