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revprev | Admin | Jun 26'24 at 22:02 | +3 | m | |
revcur | Admin | (Created page with "'''Solution: B''' We need to find <math>\sigma </math> small enough so that the range of values outside <math>1.000 \pm .003</math> cm has probability less than or equal to 1%. If <math>X</math> has a normal distribution with mean 1 and standard deviation <math>\sigma </math> then <math display = "block"> P(X \in 1.000 \pm .003 ) = P(Z \in \pm 0.003/\sigma ) \geq 0.99 = P(Z \in \pm 2.576) </math> where <math>Z </math> is a standard normal. Hence we need <math>\sigma...") | Jun 26'24 at 22:01 | +493 |