1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
6

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 25 15 14 Students Given a $1 Bill 29 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 (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 (Round to three decimal places as needed.) c. what do the preceding results suggest? A. A student given a $1 bill is more likely to have kept the money. B. A student given a $1 bill is more likely to have spent the money than a student given four quarters. C. A student given a $1 bill is more likely to have kept the money than a student given four quarters. D. A student given a $1 bill is more likely to have spent the money.
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

a) P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b) P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c)  A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

Step-by-step explanation:

Assuming the following table:

                                                     Purchased Gum      Kept the Money   Total

Students Given 4 Quarters              25                              14                      39

Students Given $1 Bill                       15                               29                    44

Total                                                   40                              43                     83

a. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student spent the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{40}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{15}{83}

And if we replace we got:

P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b. find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student kept the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{43}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{29}{83}

And if we replace we got:

P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c. what do the preceding results suggest?

For this case the best solution is:

A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

You might be interested in
Find each quotient .<br><br> 3 1/6 ÷ 2
Arlecino [84]
1.583 or 19/12 :) is the quotient!
4 0
3 years ago
PLS HELP I WILL GIVE BRAINLIEST
mr_godi [17]

Answer:

21 square feet

Step-by-step explanation:

To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.

Version 1: 6 * 2 rectangle and 3 * 3 square

(6 * 2) + (3 * 3)

12 + 9

21 sq. ft.

Version 2: 5 * 3 rectangle + 2 * 3 rectangle

(5 * 3) + (2 * 3)

<em>You could really just do 7 * 3 here.</em>

7 * 3

21 sq. ft.

Either way, you still get 21 square feet as your answer.

5 0
3 years ago
A sign painter paints individual numerals for a row of 50 houses. The houses are numbered with consecutive integers from 1 to 50
Iteru [2.4K]
Answer: 5

List out the numbers from 1 to 50. Then go through that list and circle any numbers that have 9 in them. Those numbers are:
9, 19, 29, 39, 49
So there are 5 houses with 9s painted
3 0
3 years ago
Suppose parametric equations for the line segment between (6,9) and (0,0) have the form: x = a+bt y = c+dt If the parametric cur
olasank [31]

What is 0.05 Equal to 0.5.

6 0
3 years ago
You go to the store and buy some pencils and sweet tarts. ( $.35 per pencil &amp; $.10 per sweet tart) You purchased a total of
blondinia [14]

Answer:

7 pencils

8 sweet tarts

Step-by-step explanation:

7*0.35=2.45

8*0.10=0.80

2.45+0.80=3.25

7+8=15

8 0
3 years ago
Other questions:
  • How to do for these questions? Help! Thanks :) ​
    5·1 answer
  • Given fx)= 10-2x, find f(7)<br> -4<br> 3<br> 7<br> 56
    11·2 answers
  • How much would $500 invested at 8% interest compounded continuously be
    15·1 answer
  • Suppose 25 out of 175 people said they like to play disc golf and 5 out of every 12of the players have a personalized flying dis
    10·1 answer
  • Find the product.<br> (3b – 6ys^2) (b - ys^2)
    6·1 answer
  • C is the center of the circle. Find the area of the segment shown in the figure,
    11·1 answer
  • Find the surface area of the figure.
    14·1 answer
  • Find the surface area of the prism.
    6·1 answer
  • Find and interpret the mean absolute deviation of the data.
    10·1 answer
  • A cube with an edge of 10cm is filled with water.How much can it contain?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!