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PRINTABLE VERSIONQuiz 2

Question 1

A researcher randomly selects 4 fish from among 10 fish in a tank and puts each of the 4 selected fish intodifferent containers. How many ways can this be done?

a) 5040

b) 25200

c) 160

d) 20160

e) 1260

f) None of the above

Question 2

An experimenter is randomly sampling 5 objects in order from among 52 objects. What is the total numberof samples in the sample space?

a) 1533939

b) 311875200

c) 1559376000

d) 2598960

e) 184072680

f) None of the above

Question 3

A person eating at a cafeteria must choose 3 of the 14 vegetables on offer. Calculate the number of elementsin the sample space for this experiment.

a) 990

b) 165

c) 1092

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d) 2184

e) 364

f) None of the above

Question 4

How many license plates can be made using 2 digits and 4 letters if repeated digits and letters are notallowed?

a) 64584000

b) 91395200

c) 651006720000

d) 45697600

e) 32292000

f) None of the above

Question 5

The union of two events A and B is the event that:

a) The intersection of A and B does not occur.

b) Both A and B occur.

c) A and B occur at the same time.

d) Either A or B or both occur.

e) Either A or B, but not both occur.

f) None of the above

Question 6

Let A = {2, 7}, B = {7, 16, 22}, D = {34} and S = sample space = A ∪ B ∪ D. Identify Ac.

a) {16, 22}

b) {34}

c) {16, 22, 34}

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d) {2, 16, 22, 34}

e) {2}

f) None of the above.

Question 7

Let A = {3, 10}, B = {10, 11, 28}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Bc ∪ A.

a) {3, 10}

b) {3, 10, 35}

c) {3, 11, 28, 35}

d) {3, 35}

e) {3, 10, 11, 28}

f) None of the above.

Question 8

Let A = {2, 9}, B = {9, 12, 28}, D = {40} and S = sample space = A ∪ B ∪ D. Identify Ac ∪ Bc.

a) {9, 12, 28}

b) {9}

c) {9, 40}

d) {2, 12, 28}

e) {2, 12, 28, 40}

f) None of the above.

Question 9

Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Ac ∩ B.

a) {4, 11, 23}

b) {6, 35}

c) {6, 11, 23}

d) {11, 23}

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e) {6}

f) None of the above.

Question 10

In a shipment of 71 vials, only 13 do not have hairline cracks. If you randomly select one vial from theshipment, what is the probability that it has a hairline crack?

a) 1⁄71

b) 13⁄58

c) 58⁄71

d) 13⁄71

e) 1⁄13

f) None of the above

Question 11

Suppose a card is drawn from a deck of 52 playing cards. What is the probability of drawing a 6 or a king?

a) 2⁄13

b) 1⁄156

c) 1⁄13

d) 1⁄26

e) 1⁄4

f) None of the above

Question 12

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and theprobability that a randomly selected person is a runner (the event R) is P(R) = 0.3. The probability that arandomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomlyselected person either has high blood pressure or is a runner or both.

a) 0.5

b) 0.9

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c) 0.6

d) 0.3

e) 0.7

f) None of the above.

Question 13

In a shipment of 58 vials, only 16 do not have hairline cracks. If you randomly select 2 vials from theshipment, what is the probability that none of the 2 vials have hairline cracks?

a) 0.5517

b) 0.4483

c) 0.0761

d) 0.0726

e) 0.9274

f) None of the above

Question 14

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.2 and theprobability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that arandomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomlyselected person has high blood pressure and is not a runner.

a) 0.2

b) 0.1

c) 0.6

d) 0.5

e) 0.8

f) None of the above.

Question 15

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and theprobability that a randomly selected person is a runner (the event R) is P(R) = 0.5. The probability that arandomly selected person has high blood pressure and is a runner is 0.2. Select the false statement.

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a) H and R are not mutually exclusive.

b) P(Rc ∪ Hc) = 0.8

c) P(R ∪ H) = 0.6

d) P(H ∩ Rc) = 0.1

e) H and R are independent events.

f) None of the above.

Question 16

Hospital records show that 12% of all patients are admitted for heart disease, 28% are admitted for cancer(oncology) treatment, and 6% receive both coronary and oncology care. What is the probability that arandomly selected patient is admitted for coronary care, oncology or both? (Note that heart disease is acoronary care issue.)

a) 0.40

b) 0.28

c) 0.60

d) 0.46

e) 0.34

f) None of the above.

Question 17

Hospital records show that 16% of all patients are admitted for heart disease, 26% are admitted for cancer(oncology) treatment, and 8% receive both coronary and oncology care. What is the probability that arandomly selected patient is admitted for something other than coronary care? (Note that heart disease is acoronary care issue.)

a) 0.74

b) 0.76

c) 0.66

d) 0.84

e) 0.92

f) None of the above.

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Question 18

Among 7 electrical components exactly one is known not to function properly. If 4 components are randomlyselected, find the probability that all selected components function properly.

a) 0.2857

b) 0.6297

c) 0.4286

d) 0.8571

e) 0.5714

f) None of the above

Question 19

Among 9 electrical components exactly one is known not to function properly. If 2 components are selectedrandomly, find the probability that exactly one does not function properly.

a) 0.2222

b) 0.8889

c) 0.1111

d) 0.7778

e) 0.7023

f) None of the above

Question 20

Among 6 electrical components exactly one is known not to function properly. If 4 components are randomlyselected, find the probability that at least one does not function properly.

a) 0.3333

b) 0.5787

c) 0.6667

d) 0.5000

e) 0.8333

f) None of the above

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