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6 (8 points). The probability distribution of a discrete random variable X is shown below, where X represents the number of cars owned by a
6 (8 points). The probability distribution of a discrete random variable X is shown below, where X represents the number of cars owned by a family. x0123 p(x) 0.25 0.40 0.20 0.15 a. (1 point) Find the following probabilities: P(X > 1) b. (3 points) Calculate E(X) and V(X) c. Apply the rules of expected value and variance to find the following: i. (1 point) E(10X); ii. (1 point) E(X-5); iii. (1 point) V(10X); iv. (1 point) V(X-10)
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