MGEB11H3 Lecture Notes - Lecture 5: Medical Test, Random Variable, Conditional Probability

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Two important rules in probability: addition rule, multiplication rule. A & b are i(cid:374)depe(cid:374)de(cid:374)t if : p (a|b) = p(a) or, p (b|a) = p(b) or, p (anb) = p(a)p(b, examples, suppose the probability that a players getting the basket w/probability 0. 3. If this player shoots the basket 5 times. In a company, the distribution of job hiring process has the following statistics. P(y) = 65/120 p(m) = 55/120 p(ynm) = 30/120. Y&m are mutually exclusive if ynm = 0 no m. exclusive. Answer: no, when a occurs, b will not occur. If a & b are independent, are they also mutually exclusive. When a & b are independent, p(a|b) = p(b) If a, b are also mutually exclusive, p (a|b) = 0 and p(a) = 0. P(a) cannot be zero at all times. Suppose 3% of the population have the disease. A person is tested, the test result is positive. Find p(d|+: method 1: tree, method 2: table.

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