Probability: Other Probability Distributions – #269


Question: A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Binomial Probability

Num Trials, n; 10 Evaluate
Success Prob, p 0.5
Mean: 2.2000
St Dev: 1.3266
Variance: 1.7600
x P(x) P(x or fewer) P(x or greater)
0 0.0009766 0.0009766 1.0000000
1 0.0097656 0.0107422 0.9990234
2 0.0439453 0.0546875 0.9892578
3 0.1171875 0.1718750 0.9453125
4 0.2050781 0.3769531 0.8281250
5 0.2460938 0.6230469 0.6230469
6 0.2050781 0.8281250 0.3769531
7 0.1171875 0.9453125 0.1718750
8 0.0439453 0.9892578 0.0546875
9 0.0097656 0.9990234 0.0107422
10 0.0009766 1.0000000 0.0009766

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