If I am taking a 10-item multiple choice test that has 4 alternative choices on each question and I must pick only one answer, and I am only guessing on the whole test, and if answering one question is independent of answering the others, find the probabilities of the following events. Show all of your work. Show how the problem is set up and show the final answer. You may use the binomial table.

1. 8 or more correct P=.25. n=10
2. 1 or more correct
3. 5 correct
4. 0 correct
5. less than 3 are correct