a.
To state: The probability that a nursing student passed the board exams given that he or she took the preparatory class. The table below shows the number of nursing students who took preparatory class before taking their board exams:
Preparatory Class | No Preparatory Class | Totals | |
Passed Exams | 14 | 11 | 25 |
Did not Pass Exams | 3 | 6 | 9 |
Totals | 17 | 17 | 34 |
The resultant probability is
Given information:
The given table is:
Preparatory Class | No Preparatory Class | Totals | |
Passed Exams | 14 | 11 | 25 |
Did not Pass Exams | 3 | 6 | 9 |
Totals | 17 | 17 | 34 |
Explanation:
Consider the given table:
Preparatory Class | No Preparatory Class | Totals | |
Passed Exams | 14 | 11 | 25 |
Did not Pass Exams | 3 | 6 | 9 |
Totals | 17 | 17 | 34 |
The total number of students who took preparatory class is 17.
The total numbers of students who took preparatory class and passed are 14.
Then the probability of
Therefore, the probability is
b.
To state: The probability that a nursing student did not pass the board exams given that he or she did not take the preparatory class.
The resultant probability is
Given information:
The given table is:
Preparatory Class | No Preparatory Class | Totals | |
Passed Exams | 14 | 11 | 25 |
Did not Pass Exams | 3 | 6 | 9 |
Totals | 17 | 17 | 34 |
Explanation:
Consider the given table:
Preparatory Class | No Preparatory Class | Totals | |
Passed Exams | 14 | 11 | 25 |
Did not Pass Exams | 3 | 6 | 9 |
Totals | 17 | 17 | 34 |
The total number of students who did not take preparatory class is 17.
The total numbers of students who did not take the preparatory class and not passed are 6.
Then the probability of
Therefore, the probability is
c.
To identify: Whether it is a good decision if a student takes the preparatory class before he takes the board exams.
Yes, it is a good decision if a student takes the preparatory class before he takes the board exams.
Given information:
The given statement says that whether it is a good decision if a student takes the preparatory class before he takes the board exams.
Explanation:
From part (a) and part (b):
The probability of passed exam by students who took the preparatory class is:
The probability of passed exam by students who did not take the preparatory class is:
The probability
Therefore, to take preparatory class before board exams is a good decision.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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