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, 36% of those who come to class on a regular basis rece ve A's Only 10% who do not attend regularly get A s Overall 70 % of students attend regulam. Based on this Class ro e, suppose eare o y selecting a single student 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. A) P(receives A's I attends reglaly)51 Use 2-decimal precision in your answer B) P(receives A's I does not attend regularly)2 c) P(receives A's46 D) P(attends regularly I receives A's) 7484 3 Use 2-decimal precision in your answer Use 3-decimal precision in your answer Use 3-decimal precision in your answer E) P(does not attend regularly I does not receive A's)- 0.629 Use 3-decimal precision in your answer

Explanation / Answer

A)

P(receives A's | attends regularly) = P(receives A's and attends regularly) / P(attends regularly)

= (252/1000) / (700/1000) = 0.36

B)

P(receives A's | does not attend regularly) = P(receives A's and does not attend regularly) / P(does not attend regularly)

= (30/1000) / (300/1000) = 0.10

C)

P(receives A's) = P(receives A's and attends regularly) + P(receives A's and does not attend regularly)

= (252/1000) + (30/1000) = (282/1000) = 0.282

D)

P(attends regularly | receives A's) = P(attends regularly and receives A's) / P(receives A's) = (252/1000) / (282/1000) = 0.894

E)

P(does not attend regularly | does not receive A's) = P(does not attend regularly and does not receive A's) / P(does not receive A's)

= (270/1000) / (718/1000) = 0.376

Come Don't Come TOTAL Receive A 252 30 282 Do not receive A 448 270 718 700 300 1000

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