Question

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.

	purchased gum	kept the money
students given a $1 bill	16	34

the probability is 0.622. (round to three decimal places as needed.)

b. find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
the probability is 0.378. (round to three decimal places as needed.)

c. what do the preceding results suggest?
a. a student given four quarters is more likely to have kept the money.
b. a student given four quarters is more likely to have kept the money than a student given a $1 bill.
c. a student given four quarters is more likely to have spent the money.
d. a student given four quarters is more likely to have spent the money than a student given a $1 bill.

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.