PRINTABLE VERSION. Quiz 2

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1 Question 1 PRINTABLE VERSION Quiz 2 A researcher randomly selects 4 fish from among 8 fish in a tank and puts each of the 4 selected fish into different containers. How many ways can this be done? a) 420 b) 128 c) 8400 d) 1680 e) 6720 Question 2 An experimenter is randomly sampling 5 objects in order from among 44 objects. What is the total number of samples in the sample space? a) b) c) d) e) Question 3 A person eating at a cafeteria must choose 4 of the 13 vegetables on offer. Calculate the number of elements in the sample space for this experiment. a) 715 b) 126 c) /7

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3 d) 3024 e) 2860 Question 4 How many license plates can be made using 3 digits and 4 letters if repeated digits and letters are allowed? a) b) c) d) e) Question 5 The intersection of two events A and B is the event that: a) Both A and B occur. b) The union of A and B does not occur. c) Either A or B, but not both. d) The union of A c and B c occurs. e) Either A or B or both occur. Question 6 Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A B D. Identify A c. a) {35} b) {4, 11, 23, 35} c) {4} d) {11, 23, 35} 2/7

4 e) {11, 23} Question 7 Let A = {2, 9}, B = {9, 13, 28}, D = {40} and S = sample space = A B D. Identify B c A. a) {2, 9, 13, 28} b) {2, 13, 28, 40} c) {2, 9, 40} d) {2, 9} e) {2, 40} Question 8 Let A = {3, 10}, B = {10, 11, 28}, D = {35} and S = sample space = A B D. Identify A c B c. a) {10} b) {3, 11, 28, 35} c) {10, 35} d) {3, 11, 28} e) {10, 11, 28} Question 9 Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A B D. Identify A c B. a) {4, 11, 23} b) {6, 35} c) {6, 11, 23} d) {11, 23} e) {6} 3/7

5 Question 10 In a shipment of 80 vials, only 13 do not have hairline cracks. If you randomly select one vial from the shipment, what is the probability that it has a hairline crack? a) 1 80 b) 1 13 c) d) e) Question 11 Suppose a card is drawn from a deck of 52 playing cards. What is the probability of drawing a 5 or a king? a) 1 13 b) c) 1 4 d) 2 13 e) 1 26 Question 12 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.2 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person either has high blood pressure or is a runner or both. a) 0.8 b) 0.4 c) /7

6 d) 0.9 e) 0.5 Question 13 In a shipment of 80 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, what is the probability that all 3 of the selected vials have hairline cracks? a) b) c) d) e) Question 14 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person has high blood pressure and is not a runner. a) 0.4 b) 0.8 c) 0.3 d) 0.6 e) 0.5 Question 15 The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.3. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Select the false statement. a) P(H R c ) = /7

7 b) P(R c H c ) = 0.8 c) H and R are independent events. d) H and R are not mutually exclusive. e) P(R H) = 0.5 Question 16 Hospital records show that 16% of all patients are admitted for heart disease, 20% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. What is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (Note that heart disease is a coronary care issue.) a) 0.64 b) 0.40 c) 0.28 d) 0.32 e) 0.36 Question 17 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 a randomly selected patient is admitted for something other than coronary care? (Note that heart disease is a coronary care issue.) a) 0.94 b) 0.82 c) 0.66 d) 0.72 e) 0.88 Question /7

8 Among 6 electrical components exactly one is known not to function properly. If 4 components are randomly selected, find the probability that all selected components function properly. a) b) c) d) e) Question 19 Among 9 electrical components exactly one is known not to function properly. If 2 components are selected randomly, find the probability that exactly one does not function properly. a) b) c) d) e) Question 20 Among 9 electrical components exactly one is known not to function properly. If 4 components are randomly selected, find the probability that at least one does not function properly. a) b) c) d) e) /7

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