Math 1313 Test 3 Review:
1. You deposit $130 each month into a savings account that pays 8.5%
compounded monthly. How much will be in the account after 8 years?
2. A couple bought a new house for $150,000 putting down 10,000. The
bank gave them a 15 years loan at 5.8% compounded monthly. How
much is the monthly payment?
3. How much should invest now at 5% compounded semiannually to have
$8,500 to buy a car in 2 years?
4. A company needs to replace equipment in 9 years. The company
estimates the cost of the equipment will be $100,000. How much should
be invested each month in to an account paying 4% compounded monthly
5. In a group of 320 house holds, 125 have a separate freezer,130 have a
refrigerator and 105 have a freezer and refrigerator. How many have a
refrigerator only?
6. Let E and F be events of a sample space S. Let P(Fc ) .65 , P(E F) .20
and P(E Fc ) .50 . Find P(E F c ).
7. A fair coin is tossed 15 times.
a. What is the probability of exactly 5 heads occur?
b. At most 2 heads?
8. An economics club has 30 members.
a. If a committee of 4 is to be selected, in how many ways can the selection
be made?
b. If a chairman, assistant chairman, secretary and treasurer, needs to be selected. In
how many ways can the selection be made?
9. Suppose it is known that 5 batteries out of 30 are defective. If a customer buys 6
batteries:
a. In how many ways can a customer get 2 defective batteries?
b.
What is the probability at least 4 are defective?
10. In how many ways can a Math team of 7 students be chosen from a Math Club
which consists of 13 seniors and 8 juniors if the team must consist of 4 seniors and 3
juniors?
11. An urn contains 15 white balls and 3 green balls. A sample of seven is selected at
random. What is the probability that the sample contains at least one green ball?
Math 1313 Popper Number 17
1. A new tax business, ABC taxes, will purchase a copying machine. After
speaking with their financial advisor, they find that the copying machine will
cost them $4,300 in 2 years. The account they will invest in earns 5% per
year compounded quarterly. In order to pay cash for the machine, how much
should they deposit quarterly in this account for 2 years? What kind of
problem is it?
A. Amortization
C. Sinking Fund
B. Future Value of an annuity
D. Present Value of an annuity
2. A library decides to buy a new computer system through Amex Company.
They make a down payment of $4,000. If Amex Company charges 5 % per
year compounded quarterly for 2 years, and the library's quarterly payments
are $10,000, what is the purchase price of the computer system?
A. $ 79,681.24 B. $ 71,681.24 C. $ 83,588.88 D. $ 75,681.24
.
Use for questions 3 and 4
U
A
3
B
13
2
1
9
5
C
11
7
3. Find n(B I (A U C)c ) .
A. 9
B. 2
C. 12
D. 14
4. Find n(A ∪ B c )
A. 13
B. 27
C. 44 D. 40
5. This test is all multiple choice so the score you see in CASA is
your grade for this test.
A. yes
M 1313 Popper 15 and Grading ID must be bubbled
1.
In how many ways can a president, a vice-president
and a secretary be chosen from 25 members of a club,
assuming that one person cannot hold more than one
position?
A. 2300
B. 13800
C. 12650
D. 303,600
A bag contains 8 white marbles and 6 blue marbles. Use
for questions 2 and 3
2.
In how many ways can you select 2 white and 3 blue
marbles?
A. 48 B. 176 C. 6720
3.
D. 560
What is the probability of selecting 3 blue marbles from
the bag?
A. .2797
B. .2143
C. .5000
D. .0879
4. An ID number is made up of two digits followed by three
letters. How many ID numbers are possible if the first
digit can’t be 0 and the first letter can’t be O and
repetition is not allowed?
A. 1,350,000 B. 1,560,000
C. 1,215,000
D. 1,265,625
M 1313 Popper 15 and Grading ID must be bubbled
U
A
3
B
13
2
1
9
5
C
11
(
7
)
5. Find n B ∪ Cc .
A. 5
B. 25
C. 31
D. 24
M 1313 Popper 16 and Grading ID must be bubbled
1. A store receives a box of 30 calculators. Three of those
calculators are known to be defective. In how many ways can
a customer choose 5 of them in which exactly 2 are defective?
A. 142,506 B. 8,775
C. 23,000
D. 250
2. A store receives a box of 30 calculators. Three of those
calculators are known to be defective. What is the probability
that a customer can choose 5 of them in which exactly 2 are
defective?
A. 0.0616
B. 0.0025
C. 0.1087
D. 0.0205
3. Let E and F be two events of an experiment with sample space
S. Suppose that P(E)= .4 and the P(F) = .3 and the P(E I F ) = .15 .
Find the P(E c I F c ) .
A. .25 B. .15 C. .3 D .45
4. Let E and F be two events of an experiment with sample space
S. Suppose that P(E)= .43 and the P(F) = .36 and the
P(E I F c ) = .14 . Find P(E I F) .
A. .07 B. .29 C. .21 D. .79
5. If a shipment of 28 brand new type of light bulb was shipped. It
is known that 5 are defective. If a sample of 6 is chosen. Find the
following:
In how many ways can at least 2 defective light bulb be
chosen?
A. 269,192
B. 376,740
C. 107,548
D. 168,245