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X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX

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X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let EX be the random variable of sums. Part (a) Sketch the distributions of X and X on the same graph. X X O 60 65 70 75 80 O 60 65 70 75 80 X X X 60 65 70 75 80 O 60 65 70 75 80 Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X - N [ Part (c) Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X

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