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Q2) X is the random variable describing the number of courses for which a randomly selected student is registered. The pdf is given by:

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Q2) X is the random variable describing the number of courses for which a randomly selected student is registered. The pdf is given by: (35 points) 1 2 7 0.01 0.03 0.02 X P(x) 3 0.13 4 0.25 5 0.39 6 0.17 (a) Calculate the variance (x)? (b) What is the probability that a student is registered in 3 courses, less or equal to 4 courses, or more than 2 courses?

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