5.42 Suppose that the probability distribution of a random variable x can be described by the
formula
for each of the values x = - 2, -1, 0, I, and 2.p(x) = (x - 3)2
55
Write the probability distribution of x.
Show that the probability distribution of x satisfies the properties of a discrete probability distribution.
Calculate the mean of x.
Calculate the variance and standard deviation of x.


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