There are 750 players on the active rosters of the 30 Major League Baseball teams. A random sample of 15 players is to be selected and tested for use of illegal drugs.
a. If 5% 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 10% 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 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?