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7. [-/2 Points] DETAILS Suppose X is a random variable with with expected value = 172 and standard deviation Let X1, X2,...,x289 be a

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7. [-/2 Points] DETAILS Suppose X is a random variable with with expected value = 172 and standard deviation Let X1, X2,...,x289 be a random sample of 289 observations from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the approximate probability P(X > 24.3) | 3 . b) What is the approximate probability that X + X2 + ... +289 >7000 c) Copy your R script for the above into the text box here.

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