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THANKS SO MUCH Given the following discrete probability distribution: X 1 2 4 5 9 15 P(X) 0.13 0.18 0.23 0.31 0.09 0.06 (a) Compute

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Given the following discrete probability distribution: X 1 2 4 5 9 15 P(X) 0.13 0.18 0.23 0.31 0.09 0.06 (a) Compute the expected value and the variance for this distribution. (3 marks) (b) Determine the median and the mode for this distribution. Comment on the shape of this distribution with a reason to support your conclusion. (4 marks) (c) Given that a randomly selected value of X is at most 5, what is the probability that it is an even number?

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