Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective probabilities .15, .10, .20 .20, 20, .15. The following table summarizes this: 2 3 4 .15 .10 .20 x p(x) 5 6 .20 .20 Do the calculations below using R. d. Calculate the variance of X e. Calculate the standard deviation of X f. Calculate the variance of 2X g. Paste your R script in the box below. 7 .15

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