The time taken by a professor to grade a student’s take home final exam in Organizational Behavior is uniformly distributed between 30 to 60 minutes. Let X be the time taken to grade a student’s final exam in Org Behavior. [Be sure to show your calculations.]
a. Draw the probability distribution of X.
b. What is the probability it will take less than 20 minutes to grade a student’s exam?
c. What is the expected value of grading time for a student?
d. What is the standard deviation of grading time for a student?
e. What is the probability that it will take between 40 and 50 minutes to grade a student’s exam?
f. In some semester, the professor has only 10 students in his class. He starts grading at 8AM. There is a show in the evening that he would like to attend. What is the likelihood that he will finish grading all his final exams by 5PM to leave in time for the show?
g. Does X obey the empirical rule? Justify briefly.
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