A multiple choice test with 50 questions is given. Each question has four choices. Given that a student guesses ( 0.25 chances of guessing correct) on each question, answer the following:
What is the student's probability of passing if passing is at least 60% correct?
What is the student's probability of passing if passing is at least 50% correct?
In each of the previous two cases(a and b), compute the expected value and standard deviation of the number correct."