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## Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below.  Let x = number of students found in violation of academic integrity in a semester in the core accounting class.                                                         x Prob(x)                                                                     0 0.6                                 1 0.08                                 2 0.07                                 3 0.04                                 4 0.106                                 5 0.104                                                                                                         (a) Is this a valid probability distribution? Justify briefly.                                                                                                                                                                                                           (b) What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class                                                                                                                                                                                                                               (c) What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?

 Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class. x Prob(x) 0 0.6 1 0.08 2 0.07 3 0.04 4 0.106 5 0.104 (a) Is this a valid probability distribution? Justify briefly. (b) What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class (c) What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?

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