Let X be a discrete random variable that takes on the values -2, -1, 0, 1, 2, 3 with respective probabilities .07, .17, .27 .25, .14, .10. The following table summarizes this: x -2 -1 0 1 2 3 p(x)        .07     .17     .27     .25     .14     .10   a. Find the probability that X > 0.  b. Calculate the expected value ex of X  c. Calculate the expected value

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Let X be a discrete random variable that takes on the values -2, -1, 0, 1, 2, 3 with respective probabilities .07, .17, .27 .25, .14, .10.

The following table summarizes this:

x -2 -1 0 1 2 3
p(x)        .07     .17     .27     .25     .14     .10  

a. Find the probability that X > 0. 
b. Calculate the expected value ex of X 
c. Calculate the expected value ex2 of X2 
d. Calculate the variance of X 
e. Calculate the standard deviation of X 
f. Calculate the variance of 4X 
g. Paste your R script in the box below.
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