Given here are the probability distributions of two random variables X and Y. (a) From the X
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Given here are the probability distributions of two random variables X and Y.
(a) From the X distribution, determine the distribution of the random variable 8 2X and verify that it coincides with the Y distribution. (Hence, identify
(b) Calculate the mean and standard deviation of X (call these and , respectively).
(c) From the Y distribution, calculate the mean and standard deviation of Y ( call these and , respectively).
(d) If then according to theory, we must have the relations and Verify these relations from your results in parts
(b) and (c).
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