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question1: 72% of Chicago-area residents are Cub-fans, 60% are Sox-fans & 92% are fans of at...

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

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