1. A student taking Management Science 301 at East Haven University will receive one of the five possible grades for the course: A, B, C, D, or F. The distribution of grades over the past two years is as follows: (a) If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course? (b) If this past distribution is a good indicator of future grades, what is the probability of a student receiving at least a C in the course? (c) If this past distribution is a good indicator of future grades, what is the probability of a student receiving a B and a C in the course