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This document contains a quiz with 3 questions: 1. Calculate the expected value of (D - 45)+ where D is uniformly distributed between 40 and 60. The expected value is approximately 5.625. 2. Find the value x* such that the CDF of an exponentially distributed random variable X with rate 5 equals 0.8. The value is approximately 0.3219. 3. Given E[X] = 2 and Var[X] = 3, calculate E[3X + 4] and Var[5X + 6 - X]. E[3X + 4] = 10 and Var[5X + 6 - X] = 48.

Author

David Lee

Language

EN