Question

The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class. A 2-column table with 5 rows. Column 1 is labeled grade with entries 4, 3, 2, 1, 0. Column 2 is labeled probability with entries 0.4, 0.32, 0.17, 0.08, 0.03. What is the mean of the distribution? 2 3 2.98 3.50

Answer 1

The mean of the discrete distribution that models this situation is of 2.98.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering the table, the probability distribution is given by:

• P(X = 4) = 0.4.

• P(X = 3) = 0.32.

• P(X = 2) = 0.17.

• P(X = 1) = 0.08.

• P(X = 0) = 0.03.

Hence the mean is given by:

E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.

More can be learned about the mean of a discrete distribution at brainly.com/question/27899440

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