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Quiz_9
You scored 100 out of 100
Question 1
Your answer is CORRECT.
Let A and B be events in a sample space S such that P(A) = 0.46, P(B) = 0.47 and P(A B) =
0.20. Find P(A | B).
a)
0.4348
b)
0.9787
c)
0.0213
d)
0.4255
e)
0.2151
f)
None of the above.
Question 2
Your answer is CORRECT.
Let A and B be events in a sample space S such that P(A) = 7/25, P(B) = 43/100 and P(A B)
= 7/50. Find P(B | Ac ). (Hint: Draw a Venn Diagram to find P(Ac B).)
a)
0.4028
b)
0.1944
c)
0.6744
d)
1.5357
e)
0.5972
f)
None of the above.
Question 3
Your answer is CORRECT.
If A and B are independent events and P(A) = 7/10 and P(B) = 3/10. Find P(A B).
a)
0.03
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b)
0.07
c)
0.10
d)
1.00
e)
0.21
f)
None of the above.
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Question 4
Your answer is CORRECT.
Quality Control: A company has four photocopy machines A, B, C and D. The probability that
a given machine will break down on a particular day is
P(A) = 3/25
P(B) = 3/25
P(C) = 7/50
P(D) = 9/50
Assuming independence, what is the probability on a particular day that all machines will break
down?
a)
0.00000144
b)
0.00036288
c)
0.27557319
d)
0.00275573
e)
0.01000000
f)
None of the above.
Question 5
Your answer is CORRECT.
A pair of fair dice is cast. What is the probabiliy that the sum of the numbers falling uppermost is
9, given that at least one of the numbers falling uppermost is a 3?
a)
0.1111
b)
0.3056
c)
0.1818
d)
0.0556
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e)
0.5000
f)
None of the above.
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Question 6
Your answer is CORRECT.
Two cards are drawn without replacement from a well-shuffled deck of 52 playing cards. What
is the probability that the first card drawn is a Diamond and the second card drawn is not a
Diamond?
a)
0.7500
b)
0.0577
c)
0.1875
d)
0.1912
e)
0.0588
f)
None of the above.
Question 7
Your answer is CORRECT.
Suppose we have two urns, Urn 1 and Urn 2. Urn 1 contains 7 red marbles and 9 white marbles.
Urn 2 contains 3 red marbles and 11 white marbles. The experiment consists of first choosing an
urn with equally likely probability, and then drawing a marble from that urn. What is the
probability of choosing Urn 1 and a white marble?
a)
b)
c)
d)
e)
f)
None of the above.
Question 8
Your answer is CORRECT.
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A recording company obtains the blank CDs used to produce its labels from three compact disk
manufacturers: I, II, and III. The quality control department of the company has determined that
7% of the compact disks produced by manufacturer I are defective, 1% of those produced by
manufacturer II are defective, and 5% of those produced by manufacturer III are defective.
Manufacturers I, II, and III supply 27%, 34%, and 39%, respectively, of the compact disks used
by the company. What is the probability that a randomly selected label produced by the company
will contain a defective compact disk?
a)
b)
c)
d)
e)
f)
None of the above.
Question 9
Your answer is CORRECT.
Suppose that 9 green balls and 13 purple balls are placed in an urn. Two balls are then drawn in
succession. What is the probability that the second ball drawn is a purple ball if the first ball is
replaced before the second is drawn?
a)
0.6364
b)
0.8182
c)
0.4091
d)
0.1302
e)
0.5909
f)
None of the above.
Question 10
Your answer is CORRECT.
Suppose that 7 green balls and 14 purple balls are placed in an urn. Two balls are then drawn in
succession. What is the probability that both balls drawn have the same color if the first ball is
replaced before the second is drawn?
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a)
0.2222
b)
0.4444
c)
0.1111
d)
0.5556
e)
0.0635
f)
None of the above.
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Question 11
Your answer is CORRECT.
Seniors at a certain high school took a survey regarding future plans. All plan to attend college
some time; however, 76% plan to go to college immediately following high school. Of those
who plan to attend college immediately following high school, 17% plan to major in Math. Of
those who do not plan to attend college immediately following high school, 11% plan to major in
Math. What is the probability that a randomly chosen senior does not plan to attend college
immediately following high school and plans to major in Math.
a)
b)
c)
d)
e)
f)
None of the above.
Question 12
Your answer is CORRECT.
A new test to detect TB has been designed. It is estimated that 89% of people taking this test
have the disease. The test detects the disease in 97% of those who have the disease. The test
does not detect the disease in 99% of those who do not have the disease. If a person taking the
test is chosen at random, what is the probability of the test indicating that the person does not
have the disease?
a)
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b)
c)
d)
e)
f)
None of the above.
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