Problem 1. An exam has 10 multiple choice questions where each question has 5 possible answers. (a) If student goes into exam completely unprepared and guesses on all 10, what is the probability of getting at least 5 answers right? (b) Suppose for each question, the student has probability .60 of knowing the answer, and the student randomly guesses on the remaining questions that he/she does not know. Assuming independence of each question, what is the probability of getting at least 5 answers right?

please provide a detailed explanation on how to set up the problem and solve, thank you so much I appreciate it