STA 13 Lecture Notes - Lecture 9: Finite Set, Ex-Gay Movement, Random Variable
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4 green balls & 6 red - sample 2 balls one-by-one without replacement. Step 1: b1=red and b2=red or b1=green and b2=red. Step 3 : sum probabilities (6/10)(5/4) + (4/10)(6/9) = 56/90 = 6/10. 6 = number red balls and 10 = total number box. Bayes rule: p(a/b) = (p(b/a)p(a)) / p(b) Ex: population of 40% men, 5% of men are colorblind, . 25 of women are color-blind. Define notation: m = male & c = colorblind. P(m/c) = [ p(c/m)p(m) ] / p(c) =[ (. 005)(. 4) ] / . 0215 . 93. Ltp: p(m/c) = [ p(c/m)p(m) ] / p(c) = [ p(c/m)p(m) ] / p(c and m ) + p(c and. Ex: box 2 coins, coin 1 = 2heads & coin2 = regular. Definition: a random variable is a variable that takes on numeric values depending on the outcome from experimental, measurement, or sampling process. Discrete random variables are random variables that take on values either.
