### What is the expected value of the distribution

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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 2 years follows: Grade: #of Students A 80 B 75 C 90 D 30 F 25 (assume the value of an A = 4, B = 3, C = 2, D = 1, F = 0) Answer the following: 1) what is the probability of getting a "C"?, 2) what is the Expected Value (or mean) of the distribution? what is the Variance of the distribution?

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