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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?
Round to three decimal places.
- A. 0.205
- B. 0.172
- C. 0.828
- D. 0.377
There is an equal chance of getting n on the test as getting 10-n on the test: just rename correct to incorrect.
The choices of answers for each question =2
Then, the probability of choosing a correct option: p= 0.5
Total number of question: n=10
Also, to pass the test, a student must correctly answer at least 6 questions.
Let x be the random variable that represents the number of questions answered.
Answer: There is a 0.377 chance that the student will pass the test.