Math 3339 quiz 2

Question number 1. Your answer was A. Correct. 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 1680 B 8400 C 6720 D 128 E 420 F None of the above Question number 2. Your answer was C. Correct. An experimenter is randomly sampling 4 objects in order from among 60 objects. What is the total number of samples in the sample space? A 46812960 B 367290 C 11703240 D 8814960 E 487635 F None of the above Question number 3. Your answer was B. Correct. A person eating at a cafeteria must choose 3 of the 14 vegetables on offer. Calculate the number of elements in the sample space for this experiment. A 1092 B 364 C 165 D 990 E 2184 F None of the above Question number 4. Your answer was B. Correct. How many license plates can be made using 2 digits then 4 letters if repeated digits and letters are allowed? A 651006720000 B 45697600 C 64584000 D 91395200 E 32292000 F None of the above Question number 5. Your answer was A. Correct. In a shipment of 71 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 58 / 71 B 1 / 71 C 1 / 13 D 13 / 71 E 13 / 58 F None of the above Question number 6. Your answer was E. Correct. Suppose a card is drawn from a deck of 52 playing cards. What is the probability of drawing a 2 or a jack? A 1 / 26 B 1 / 13 C 1 / 156 D 1 / 4 E 2 / 13 F None of the above Question number 7. Your answer was D. Correct. 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 0.9 B 0.4 C 0.6 D 0.5 E 0.8 F None of the above. Question number 8. Your answer was D. Correct. In a shipment of 68 vials, only 15 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks? A 0.4412 B 0.5588 C 0.9539 D 0.0461 E 0.0487 F None of the above Question number 9. Your answer was A. Correct. The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 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 0.1. Find the probability that a randomly selected person has high blood pressure and is not a runner. A 0.2 B 0.4 C 0.7 D 0.3 E 0.6 F None of the above. Question number 10. Your answer was D. Correct. Hospital records show that 12% 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 a randomly selected patient is admitted for coronary care, oncology or both? (Note that heart disease is a coronary care issue.) A 0.38 B 0.22 C 0.62 D 0.30 E 0.46 F None of the above. Question number 11. Your answer was B. Correct. Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the probability that all selected components function properly. A 0.3333 B 0.6667 C 0.5787 D 0.8333 E 0.5000 F None of the above Question number 12. Your answer was C. Correct. Among 6 electrical components exactly one is known not to function properly. If 4 components are selected randomly, find the probability that exactly one does not function properly. A 0.5000 B 0.8333 C 0.6667 D 0.3333 E 0.5787 F None of the above Question number 13. Your answer was D. Correct. Among 8 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the probability that at least one does not function properly. A 0.7500 B 0.6699 C 0.8750 D 0.2500 E 0.1250 F None of the above