Based on this table, what is the probability that a student shows improvement if it is known that the student went to Saturday Academy?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A. 19%

B. 25%

C. 79%

D. 81%

A study has been conducted to determine whether attending Saturday Academy helps students raise their grade in math by one letter grade. The results are shown in the following table:

|                             | Improvement | No Improvement |
|-----------------------------|-------------|----------------|
| Attends Saturday Academy    | 190         | 50             |
| Doesn’t Attend Saturday Academy | 120     | 200            |

Based on this table, what is the probability that a student shows improvement if it is known that the student went to Saturday Academy?
Transcribed Image Text:A study has been conducted to determine whether attending Saturday Academy helps students raise their grade in math by one letter grade. The results are shown in the following table: | | Improvement | No Improvement | |-----------------------------|-------------|----------------| | Attends Saturday Academy | 190 | 50 | | Doesn’t Attend Saturday Academy | 120 | 200 | Based on this table, what is the probability that a student shows improvement if it is known that the student went to Saturday Academy?
Expert Solution
Step 1

The data is given by

  Improvement No improvement Total
Attend 190 50 240
Not attend 200 200 400
Total 390 250 640
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