STAT 3450 Lecture Notes - Lecture 11: Standard Deviation

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Recall: for a random variable x, a linear function of x , ax + b is a random variable with. If x ~ n( , 2), (i. e. normally distributed), a 0 and b is a constant. A chemist measures the temperature of a solution in c. The measurement is normally distributed with mean 40 c and standard deviation 1 c. 2 n n are independent random variables and c1, c2, , cn are constants where at least one is not equal to zero, then. One piece of pvc pipe is to be inserted inside another piece. The length of the first piece is normally distributed with mean 20 in. and standard deviation . 5 in. The length of the second piece is normally distributed with mean 15 in. and standard deviation . 4 in. The amount of overlap is normally distributed with mean 1 in. and standard deviation . 1 in.

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