There are 750 players on the active rosters of the 30 major league baseball teams. A random sample of 12 players is to be selected and tested for use of illegal drugs. (Give your answers correct to three decimal places.)

(a) If 6% of all the players are using illegal drugs at the time of the test, what is the probability that 1 or more players test positive and fail the test?

(b) If 20% of all the players are using illegal drugs at the time of the test, what is the probability that 1 or more players test positive and fail the test?

(c) If 32% of all the players are using illegal drugs at the time of the test, what is the probability that 1 or more players test positive and fail the test?