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Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population is less than 7 B) Find the number x such that P{ N (4,4) < x } .75, i.e., such that a normal observation with mean 4 and standard deviation 4 has probability .75 of being less than X. If the heights of 17-your-old girls are known to be normally distributed with mean C) so that she will be taller than 73% of other girls her age?

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り, suppose, Xn, N(M) 01 -I c) lot χ denote the heights of 17-year old girls Z531 드 0.73 7.61433 073)

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