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A biased die with six faces is rolled. The discrete random variable X represents the score on the uppermost face. The probability distribution of

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A biased die with six faces is rolled. The discrete random variable X represents the score on the uppermost face. The probability distribution of X is shown in the table below. X 1234 5 6 Px(x) a a a b b 0.3 33 = a) If E(X) 4.2, find the values a and b. b) Find V(5-3X). c) Obtain the cumulative distribution function of X.

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