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|34|14|\n|students given a $1 bill|16|25|\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.\nthe probability is 0.708.\n(round to three decimal places as needed.)\nb. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.\nthe probability is \n(round to three decimal places as needed.)

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|34|14|\n|students given a $1 bill|16|25|\na. find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.\nthe probability is 0.708.\n(round to three decimal places as needed.)\nb. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.\nthe probability is \n(round to three decimal places as needed.)

Answer

Explanation:

Step1: Identify relevant numbers

Students given $1 bill who spent (purchased gum) = 16, total students given $1 bill = 16 + 25=41.

Step2: Calculate probability

Probability = $\frac{\text{Number of students who spent}}{\text{Total number of students given $1 bill}}=\frac{16}{41}\approx 0.390$.

Answer:

0.390