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 inthe table. Complete parts (a) through (c) below.Purchased GumKept the MoneyStudents Given Four QuartersStudents Given a $1 Bill31141325 a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.The probability is 0.342(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 a $1 bill.The probability is 0.658(Round to three decimal places as needed.)c. What do the preceding results suggest?O A. Astudent given a S1 bill is more likely to have spent the money than a student given four quarters.O B. Astudent given a $1 bill is more likely to have kept the money.O C. Astudent given a $1 bill is more likely to have kept the money than a student given four quarters.OD. Astudent given a S1 bill is more likely to have spent the money.

Answered: In an experiment, college students were…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter14: Powers

Section: Chapter Questions

Problem 25A: In the following table, the lengths of the sides of squares are given. Determine the areas of the...

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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 Four Quarters
Students Given a $1 Bill
31
14
13
25

a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.
The probability is 0.342
(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 a $1 bill.
The probability is 0.658
(Round to three decimal places as needed.)
c. What do the preceding results suggest?
O A. Astudent given a S1 bill is more likely to have spent the money than a student given four quarters.
O B. Astudent given a $1 bill is more likely to have kept the money.
O C. Astudent given a $1 bill is more likely to have kept the money than a student given four quarters.
OD. Astudent given a S1 bill is more likely to have spent the money.

Expert Solution

Step 1

Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out of which m are favourable to the event A, then the probability of occurrence of the event A is denoted by P(A) and is given by
$P (A) = \frac{m}{n}; 0 \leq m \leq n$

The data are given,

	Purchased gum	Kept the money	Total
Students given four quarters	31	14	45
Students given $1 bill	13	25	38
Total	44	39	83

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