A professor is giving a T/F test in your history class. Statistics show students who don't study for test but attend class have a 60% chance of getting the answers correct. The test is 20 problems and student didn't study. (Hint: Binomial Distribution)
a) What are the odds a student gets more than 14 problems correct?
b) What are the odds a student gets exactly 12 problems correct?
c) What are the odds a student gets an A (19 or 20 problems correct)?
d) What are the odds the student gets a D or E (less than 14 problems correct)?
e) If the probability of a student getting an answer correct on the same 20 problem test increases to 62%, what are the odds a student gets exactly 12 problems correct?