Atown council of 7 members contains a steering committee of size 3. new ideas for legislation go first to the steering committee and then on to the council as a whole if at least 2 of the 3 commit- tee members approve the legislation. once at the full council, the legislation requires a majority vote (of at least 4) to pass. consider a new piece of legislation, and suppose that each town council member will approve it, independently, with prob- ability p. what is the probability that a given steer- ing committee member’s vote is decisive in the sense that if that person’s vote were reversed, then the final fate of the legislation would be reversed? what is the corresponding probability for a given council member not on the steering committee?

98 point question what is the record for most points in one

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000

If 3 3/4 lb. of candy costs 20.25 how much would 1lb. of candy cost