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i have a question on the following problem! 2. For a symmetric distribution with mean a, the mean absolute deviation is the expected value MAD

i have a question on the following problem!

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2. For a symmetric distribution with mean a, the mean absolute deviation is the expected value MAD (X) = E(|X pl), of the absolute difference |X ,u.|, which is strictly positive. The mean absolute deviation for the standard normal distribution is an integral 1 2 |a:| e-z \"dag = x/2/7r = 0.7979,... 'V27'r [no Part a: Find the MAD of the Bernoulli-l/ 2 distribution. Part b: Find the MAD of the binomial distribution Bin(2, 1/2). Part c: Find the mean absolute deviation of the normal distribution with variance 500? Part (1: Comment briey on the relevance of the previous calculation to the number of heads in the Kerrich sequence. Part e: True or false? MAD(3X + 7) = 3 x MAD(X)

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