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Cumulative Probability for a Discrete Distribution

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The provided table shows the probability distribution for scores on an exam. A student must achieve a score of 3 or higher to receive college credit. Which of the following correctly describes the calculation for the probability that a randomly selected student does not receive college credit?

Score Probability
1 0.211
2 0.197
3 0.215
4 0.211
5 0.166
A

Adding the probabilities for scores 1 and 2: 0.211+0.197=0.4080.211 + 0.197 = 0.408 shows a 40.8% chance of not receiving college credit.

B

Multiplying the probabilities of scores 1 and 2 to find the cumulative failure rate.

C

Subtracting the probability of a score of 3 from 1 to get the probability of failure.

D

Taking the average probability of scores 1 and 2 as representative of overall failure.

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