The probability that a student receives an A in a course is 0.1. The probability that a student studies less than 30 hours per week is 0.503. The probability that a student studies less than 30 hours per week and receives less than an A in a course is 0.495.
a. Create a contingency table based on these probabilities.
b. What is the probability that a student receives an A in a course, given that the student studies at least 30 hours per week?
c. What is the probability that a student receives less than an A in a course, given that the student studies less than 30 hours per week?