PRINTABLE VERSION Quiz 9 Question 1 Given that P(E) = 0.38, P(F) = 0.38, and P(E F) = 0.12. Find P(E F). a) 0 b) 0.36 c) 0.12 d) 0.64 e) 1 f) None of the above. Question 2 Given P(A) = 925, P(B) = 37100 and P(A Bc ) = 625. Find P(A B). a) 0.02 b) 0.97 c) 0.36 d) 0.05 e) 0.12 f) None of the above. Question 3 Suppose P(E) = 1825 , P(Fc ) = 1125 , and P(F Ec ) = 425. Find P(E F). a) 0.88 b) 0.12 c) 0.40 d) 0.16 e) 0.56 f) None of the above. Question 4 Given P(A) = 1950 , P(B) = 1320 , and P(A Bc ) = 25. Find P(A Bc ). a) 0.37 b) 0.34 c) 0.33 d) 0 e) 0.30 f) None of the above. Question 5 127 cars were sold during the month of April. 74 had air conditioning and 59 had automatic transmission. 58 had air conditioning only, 43 had automatic transmission only, and 10 had neither of these extras. What is the probability that a randomly selected car had automatic transmission or air conditioning or both? a) 0.1260 b) 0.7953 c) 0.9213 d) 0.4646 e) 0.1368 f) None of the above. Question 6 A campus radio station surveyed 258 students to determine the type of music they like. 150 like rock, 104 like country and 16 like both types of music. What is the probability that a randomly selected student likes rock only? a) 0.1067 b) 0.0620 c) 0.8605 d) 0.5814 e) 0.5194 f) None of the above. Question 7 A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 206 like rock, 158 like country, and 119 like jazz. Moreover, 26 like rock and country, 27 like rock and jazz, 19 like country and jazz, and 7 like all three types of music. What is the probability that a randomly selected student likes country but not rock? a) 0.2400 b) 0.2920 c) 0.2540 d) 0.2640 e) 0.3160 f) None of the above. Question 8 A fair coin is tossed 16 times. What is the probability that exactly 5 tails occur? a) 0.0001 b) 0.0012 c) 0.0002 d) 0.4999 e) 0.0667 f) None of the above. Question 9 A shipment contains 15 televisions, of which two are defective. A sample of three televisions is selected at random. What is the probability that the sample contains no defective televisions? a) 0.6286 b) 0.1048 c) 0.8667 d) 0.6500 e) 0.3714 f) None of the above. Question 10 A 13 card hand is dealt from a well-shuffled standard 52-card deck. What is the probability that 6 red cards and 7 black cards are dealt? a) 0.2785 b) 0.2385 c) 0.2885 d) 0.2355 e) 0.2985 f) None of the above. Question 11 What is the probability that 4 hearts are chosen if 7 cards are chosen from a wellshuffled deck of 52 playing cards? a) 0.00000026 b) 0.04884259 c) 0.00000021 d) 0.00000534 e) 0.00000039 f) None of the above. Question 12 An urn contains 12 white balls and 6 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball? a) 0.9998 b) 0.9751 c) 0.1742 d) 0.8258 e) 0.0002 f) None of the above. Question 13 A fair coin is tossed 9 times. What is the probability that the coin lands head at least 7 times? a) 0.0898 b) 0.0859 c) 0.0703 d) 0.0879 e) 0.1797 f) None of the above. Question 14 A fair coin is tossed 28 times. What is the probability that at most 25 tails occur? a) 0.999986 b) 0.999998 c) 0.000002 d) 0.000014 e) 0.000012 f) None of the above. Question 15 A fair coin is tossed 26 times. What is the probability that at least 2 heads occur? a) 0.99999961 b) 0.99999960 c) 0.99999475 d) 0.00000001 e) 0.00000484 f) None of the above. Question 16 A business organization needs to make up a 5 member fund-raising committee. The organization has 10 accounting majors and 8 finance majors. What is the probability that at most 1 accounting major is on the committee? a) 0.0012 b) 0.0817 c) 0.0065 d) 0.0882 e) 0.0077 f) None of the above. Question 17 A classroom of children has 17 boys and 19 girls in which five students are chosen at random to do presentations. What is the probability that more boys than girls are chosen? a) 0.4448 b) 0.0164 c) 0.3249 d) 0.1199 e) 0.4284 f) None of the above. Question 18 A toy manufacturer inspects boxes of toys before shipment. Each box contains 8 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped? a) 0.4667 b) 0.1071 c) 0.3571 d) 0.6429 e) 0.9231 f) None of the above