Statistical Sciences 1024A/B Lecture Notes - Lecture 21: Bernoulli Trial, Binomial Distribution
30 Jan 2018
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Tree diagrams: study who visits internet video sharing sites (ages between 18 and over). Let: a1 be the persons with ages between 18 to 29, a2 ages between 30 and 49, a3 ages between 50 and over, notice {a1 or a2 or a3} = s, what is given: Let b be the person who visits video sharing sites, need to find p(b: p(b|a1) = 0. 70; p(b|a2) = 0. 51; p(b|a3) = 0. 26. , xn: notice that we need the outcomes from x1, . , xn are independent with each other: for each xi: p(xi = 1) = p and p(xi = 0) = 1 p, now we have n independent bernoulli r. v. s x1, . , xn: what do we want to study, let y = x1 + x2 + . + xn: possible values for y, so we need to find p(y = i) for i = 0; 1, .
