Solve the below:
Q: A professor is giving a T/F test in your history class. Statistics show students who do not study for the test but attend class have a 70% chance of getting the answers correct. The test is 20 questions and the student did not study. (Hint: Binomial Distribution)
a. What are the odds a student gets more than 13 questions correct?
b. What are the odds a student gets exactly 17 questions correct?
c. What are the odds a student gets an A (19 or 20 questions correct)?
d. What are the odds the student gets a D or E (less than 14 questions correct)?
e. If the probability of a student getting an answer correct on the same 20 question test falls to 62% What are the odds a student gets exactly 13 questions correct?