2. In a class, 15% of the students is expected to fail. Examination marks are roughly distributed, with a mean of 72 and a standard deviation of 6. a. What mark must a student make to pass? b. What percent of the class is included between marks 75 and 80? c. What is the probability of getting a mark higher than 80? d. Within what two marks can we expect the middle 95% of the cases to led?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2. In a class, 15% of the students is expected to fail. Examination marks are
roughly distributed, with a mean of 72 and a standard deviation of 6.
a. What mark must a student make to pass?
b. What percent of the class is included between marks 75 and 80?
c. What is the probability of getting a mark higher than 80?
d. Within what two marks can we expect the middle 95% of the cases to
be included?
e.
What two marks are so extreme that only 1% of the class is expected to
fall beyond them?
Transcribed Image Text:2. In a class, 15% of the students is expected to fail. Examination marks are roughly distributed, with a mean of 72 and a standard deviation of 6. a. What mark must a student make to pass? b. What percent of the class is included between marks 75 and 80? c. What is the probability of getting a mark higher than 80? d. Within what two marks can we expect the middle 95% of the cases to be included? e. What two marks are so extreme that only 1% of the class is expected to fall beyond them?
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