question1: 72% of Chicago-area residents are Cub-fans, 60% are Sox-fans & 92% are fans of at least one of the teams. Determine the probability that a randomly chosen Chicago-area resident is a Cub-fan, given that s/he is a Sox-fan.
a) .700 b) .723 c) .667 d) .556 e) .744
question2: In problem (1), P(Cub-fan | a Cub-fan or a Sox-fan, but not both)
a) .525 b) .545 c) .576 d) .600 e) .615
question3: A class contains 6 Iowans, 6 Californians and 8 New Yorkers. Three members are chosen at random & without (w/o) replacement. Determine the probability that at least one Iowan is chosen.
a) .44 b) .50 c) .58 d) .62 e) .68
question4: Suppose P(E) = .28, P(EF) = .08 & P(E or F) = .46 Determine P(E | F).
a) .128 b) .222 c) .275 d).308 e) .335
question1: 72% of Chicago-area residents are Cub-fans, 60% are Sox-fans & 92% are fans of at...
question1: 2 men and 6 women are seated randomly about a round table. Determine the probability that the two men are NOT seated next to each other. a) .856 b) .824 c) .777 d) .750 e) .714 question2: Suppose that A, B & C are events. Which is/are true ? a) P(A) ≤ P(AUB) ≤ P(AB) b) P(AUC) ≥ P(AB) ≥ P(ABC) c) P(A) = P(AB' )P(AB) d) P(ABC) ≤ P(AB) ≤ P(A) e) P(A) = P(AB) + P(AB') question3:...
question1: Eight people each toss a fair coin five times. Determine the probability that at least one of these people obtains five heads a) .178 b) .224 c) .288 d) .361 e) .403 question2: A fair coin is tossed 5 times. Determine the probability that a “run” of 3 or more heads occurs. note: HTHHH & HHHHT have runs of 3 & 4 heads. a) 1/8 b) 3/16 c) 5/16 d) 1/4 e) 5/8 question3: The symbols $ $ $...
question1: 92% of Sardinians live more than 80 years, & 34% live fewer than 90 years. Determine the probability that a randomly chosen Sardinian lives more than 90 years, given that s/he lives more than 80 years. a) .58 b) .63 c) .68 d) .72 e) .77 question2: Suppose P(β=1)=.4, P(β=2)=.6 & X~U(0,β). Determine P(X < .8). a) .44 b) .48 c) .52 d) .56 e) .60 note: X ~ U(0, β) P(X < t) = t / β for 0...