ADM 2303 Study Guide - Statistical Process Control, Percentile, Control Chart

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P(xuy) = p(x or y) = p(x) + p(y) p(x and y) Mutually exclusive (disjoint): if the occurrence of one event precludes the occurrence of another event. Then p(x or y) = p(x) + p(y) Conditional: p(x|y) = p(x given that y has occurred) Independent: when p(y|x) = p(y) or p(x and y) = p(x)*p(y) vs. disjoint: when p(x and y) = 0 or when a and b overlap and when both events can occur together. I have an initial estimate of p(y), i do a test and find that x is true, so i update my initial estimate to get p(y|x). Use tree diagrams, then multiple along the branches to get p(x and y). Then to find p(y|x), use the conditional formula, and the denominator will be all the p(y)s added together. P(d|+) = p(+|d)*p(d) / [ p(+|d)*p(d) + p(+|w)*p(w) ] Where: + = positive test result, d = patient has diabetes, w.

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