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Problem 14. Your probability class has 250 undergraduate students and 50 graduate students. The probability of an undergraduate (or graduate) student getting an A is 1/3 (or 1/2, respectively). Let X be the number of students that get an A in your class. (a) Calculate E[X] by first finding the PMF of X. (b) Calculate E[X] by viewing X as a stun of random variables, whom, mean is easily calculated. Solution.

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Problem 14. Your probability class has 250 undergraduate students and 50 graduate students. The probability of an undergraduate (or graduate) student getting an A is 1/3 (or 1/2, respectively). Let X be the number of students that get an A in your class. (a) Calculate E[X] by first finding the PMF of X. (b) Calculate E[X] by viewing X as a stun of random variables, whom, mean is easily calculated. Solution

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  • 1. Problem 14. Your probability class has 250 undergraduate students and 50 graduate students. The probability of an undergraduate (or graduate) student getting an A is 1/3 (or 1/2, respectively). Let X be the number of students that get an A in your class. (a) Calculate E[X] by first finding the PMF of X. (b) Calculate E[X] by viewing X as a stun of random variables, whom, mean is easily calculated. Solution