A professor has noticed that, even though attendance is not a component of the f

Question

A professor has noticed that, even though attendance is not a component of the final grade for the class, students that attend regularly generally get better grades. In fact, 57% of those who come to class on a regular basis receive A's. Only 10% who do not attend regularly get A's. Overall, 60% of students attend regularly. Based on this class profile, suppose we are randomly selecting a single student from this class, and answer the questions below.

Hint #1: pretend that there are 1000 students in the class and use the values given in the problem to construct the appropriate contingency table. Round cell frequencies to the nearest integer

Hint #2: No joke, you really need to use hint #1.

Hint #3: The first step to using hint #1 is to calculate the totals for those who attend regularly and do not attend regularly.

Explanation / Answer

A)  P(receives A's | attends regularly) = 0.57

B)  P(receives A's | does not attend regularly) = 0.1

C) P(receives A's) = 382/1000 = 0.382

D) P(attends regularly | receives A's) = 342/382 = 0.895

E)  P(does not attend regularly | does not receive A's) = 258/618 = 0.417

Grade A Grade is not A Total Attend regularly 342 258 600 Doesnt attend regularly 40 360 400 Total 382 618 1000

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