Professor Sanchez has been teaching Principles of Economics for over 25 years. H

Question

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading.

Part (a) omitted

Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Grade Numerical Score Probability A 4 0.080      B 3 0.240      C 2 0.350      D 1 0.195      F 0 0.135     

Explanation / Answer

b)

Note that a cumulative distirbution table is obtained by adding the previous rows. Here, we do it upward.

Thus, consider the table:

c)

P(at least B) = P(B) + P(A) = 0.08+0.24 = 0.32 [answer]

d)

P(not F) = 1 - P(F) = 1-0.135 = 0.865 [answer]

x P(x<=x) F 0.135 D 0.33 C 0.68 B 0.92 A 1

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