Question

In an particular AP Statistics class, 15% of students do not pass the final exam the students that pass, 82% of them studied for the exam. Of those who did not pass, 10% said they studied. Make a tree diagram for this problem (note this the same tree diagram as question 2).

What is the probability that if a student does not study, he passes the exam? (Round to 2 decimals)
What is the probability that a student studied for the final exam?

Answer 1

HELP ME PLES

PERIOD, FREQUENCY OR AMPLITUDE

1. Doesn't change period

2. More of this means more energy

3. Increases as a pendulum swings back and forth faster

4. Measured in cycles per second

5. Measured in meters or centimeters

6. This is decreases with smaller swing

7. If the frequency increases, this decreases

8. Measured in Hertz

9. Measured in seconds

10. if it swings back and forth slower, this decrease

11. As it dampens, this decreases

Answer 2

The probability that if a student does not study, he passes the exam is 0.2837.

The probability that a student studied for the final exam is 0.4019.

To solve this problem, we can create a tree diagram and then calculate the probabilities.

Tree Diagram:

Studied

/ \

Passed

Passed

Studied

/ \

Did not pass

Did not pass

a) What is the probability that if a student does not study, he passes the exam? (Round to 2 decimals)

To find the probability of passing the exam if a student did not study, we need to consider the probability of not passing the exam among those who did not study and the total number of students who did not study.

Probability of not passing the exam among those who did not study: 82% (82/100) = 0.82

Total number of students who did not study: 100% (100/100) = 1

Probability of passing the exam if a student did not study: (0.82/1) / (0.82 + 0.82) = 0.475 / 1.64 = 0.2837 (rounded to 2 decimals)

b) What is the probability that a student studied for the final exam?

To find the probability that a student studied for the final exam, we need to consider the probability of studying among those who passed the exam and the total number of students who passed the exam.

Probability of studying among those who passed the exam: 82% (82/100) = 0.82

Total number of students who passed the exam: 15% (15/100) = 0.15

Probability of studying for the final exam: (0.82/0.15) / (0.82 + 0.82) = 0.65 / 1.64 = 0.4019 (rounded to 2 decimals)