APFIVE Cumulative Probability for a Discrete Distribution
Which of the following is an example of using a cumulative probability distribution to determine the probability that a student did not receive college credit (assuming a score of 3 or higher is needed for college credit)?
| Score | Probability |
|---|---|
| 1 | 0.211 |
| 2 | 0.197 |
| 3 | 0.215 |
| 4 | 0.211 |
| 5 | 0.166 |
A
Taking the average probability of scores 1 and 2 as representative of overall failure.
B
Subtracting the probability of a score of 3 from 1 to get the probability of failure.
C
Multiplying the probabilities of scores 1 and 2 to find the cumulative failure rate.
D
Adding the probabilities for scores 1 and 2: $$0.211 + 0.197 = 0.408$$ shows a 40.8% chance of not receiving college credit.
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