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Over the span of a term, a student takes 10 tests. Suppose that each test score is normally distributed with mean 75 and variance 10
Over the span of a term, a student takes 10 tests. Suppose that each test score is normally distributed with mean 75 and variance 10 (allowing negative scores). All test scores are independent. Let X be the number of times that the student's test score is strictly higher than the previous test score, so for example if the scores were 1,2,3,4,5,6,5,4, 8,9, then X would be 7. What is EX?
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