1. A teacher has prepared a 5-item test with the first three items being true or false and the last two items being multiple-choice with four choices each. What is the probability that a student will score 100 percent if every answer is chosen at random?
2. A committee of three is selected at random from a set consisting of five Democrats, eight Republicans, and two Independents.
a. What is the probability that the committee consists of all Democrats?
b. What is the probability that the committee consists of no Republicans?
3. Compute 100!/99!
4. If the odds in favor of the Rangers winning the game are 7 to 5, what is the probability that they will win?
5. If all the students in the class scored 100 on an exam, what is the standard deviation? Tell why you answered the way that you did.