2. A professor always assigns final grades such that 20% are A, 40% are B, 30% are C, 5% are D, and 5% are F. The grade point scores are 4 for A; 3 for B; 2 for C; 1 for D; and 0 for F.

A. Create the probability distribution table for grade points for this professor.

B. Find the mean of this probability distribution and provide and interpretation of this mean.

C. Find the variance and standard deviation.