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8. For a certain normal distribution, = 8, about 20% of all scores are less than 83. What is the mean of the distribution (10 points)?
8. For a certain normal distribution, σ = 8, about 20% of all scores are less than 83. What is the mean of the distribution (10 points)?
Suppose that 4 students take the SAT, and each will consider the test a success if they score
at least 550 on the math section. Consider scores with a mean of 100 and a standard deviation of 110 (15
points).
9. What is the probability that an individual student will succeed?
10. Let Y be the number of students of the 4 who succeed. What is the distribution of Y ?
What is the probability that Y = 3? [Hint: There are 4 students/trials, each is a
success or failure . . . ]
