Question: X ~ N (40,11). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let X

X~N(40,11). Suppose that you form random samples of 25 from this distribution. LetX

be the random variable of averages. LetXbe the random variable of sums.

Sketch the graph, shade the region, label and scale the horizontal axis forX,

and find the probability. (Round your answer to four decimal places.)

P(X<40)

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