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6. [-16 Points] DETAILS Suppose X is a Normal random variable with with expected value 5.11 and standard deviation 1.345. We take a random
6. [-16 Points] DETAILS Suppose X is a Normal random variable with with expected value 5.11 and standard deviation 1.345. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X> 5.61) b) Find the probability P(X > 5.61) when n = 9 c) Find the probability P(X > 5.61) when n = 25 d) Find the probability P(5 < < 5.33) when n = 25| e) Find the standard deviation of X when n = 25 f) Find the probability that X + x2 + +X25 < 125.
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Calculus
Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
