Question: A random variable X can take the values 0, 2, 3, 7 with the following probability distribution: x value 0 2 3 7 probability 0.3

A random variable X can take the values 0, 2, 3, 7 with the following probability distribution: x value 0 2 3 7 probability 0.3 0.1 0.2 0.4 (Enter your answers as exact values in the form of fractions a/b or decimals.) a) Compute the mean, H X . (Enter the exact value) b) Compute the variance, of (Enter the exact value) c) Let Y be the random variable Y = 9 + 9X. i) Compute the mean of Y, MY (Enter the exact value) ii) Compute the variance of Y, of (Enter the exact value)

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