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Suppose that the probability distribution of a random variable x can be described by the formula
p(x) = x/15
For each of the values x = 1,2,3,4 and 5. For example, then, P(x=2)=p(2)=2/15
A. Write out the probability distribution of x.
B. Show that the probability distribution of x satisfies the properties of a discrete probability distribution.
C. Calculate the mean of x.
D. Calculate the variance s2x, and the standard deviation, sx.
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