PRINTABLE VERSION Quiz 10 Question 1 Given that P(E) = 0.44, P(F) = 0.44, and P(E F) = 0.06. Find P(E F). a) 0.06 b) 0 c) 0.18 d) 0.82 e) 1 f) None of the above. Question 2 Given P(A) = 925, P(B) = 39100 and P(A Bc ) = 23100. Find P(A B). a) 0.13 b) 0.08 c) 0.03 d) 0.36 e) 0.98 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) = 720 , P(B) = 67100 , and P(A Bc ) = 39100. Find P(A Bc ). a) 0 b) 0.25 c) 0.26 d) 0.29 e) 0.31 f) None of the above. Question 5 103 cars were sold during the month of April. 58 had air conditioning and 51 had automatic transmission. 42 had air conditioning only, 35 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) 0.4951 b) 0.9029 c) 0.7476 d) 0.1720 e) 0.1553 f) None of the above. Question 6 A campus radio station surveyed 223 students to determine the types of music they like. The survey revealed that 115 like rock only, 78 like country only and 18 like both of these types of music. What is the probability that a randomly selected student likes country but not rock? a) 0.4305 b) 0.3805 c) 0.0807 d) 0.3681 e) 0.3498 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 207 like rock, 163 like country, and 119 like jazz. Moreover, 31 like rock and country, 27 like rock and jazz, 23 like country and jazz, and 11 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music? a) 0.0220 b) 0.4000 c) 0.1180 d) 0.0940 e) 0.3020 f) None of the above. Question 8 A fair coin is tossed 15 times. What is the probability that exactly 4 heads occur? a) 0.9998 b) 0.2667 c) 0.0005 d) 0.0417 e) 0.0018 f) None of the above. Question 9 A basket contains 10 apples, of which two are rotten. A sample of three apples is selected at random. What is the probability that the sample contains two rotten apples? a) 0.5091 b) 0.0667 c) 0.1333 d) 0.5333 e) 0.4667 f) None of the above