BIOL 2030 Lecture Notes - Lecture 5: Binomial Theorem, Binomial Distribution, Mutual Exclusivity
31 Jan 2016
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Document Summary
P(a and b) = p(a)*p(b: the sum rule: the probability of either one of two (or more) mutually exclusive events occurring is the sum of their individual probabilities. P(a or b) = p(a) + p(b) Branch diagram approach to calculate ratios in a monohybrid cross: f1 generation: rr x rr, gametes: r and r. Coefficient of 2 reflects that there are 2 possible orders. Family of 1b, 1g is twice as common as a family of 2b. Possible distribution of boys and girls in a family of 5 children or 2g o: binomial expansion. One way to represent this sort of problem is with the binomial expansion. B=prob(boy), g=prob(girl: (b+g)2 = 1 = 1b2 + 2bg + 1g2, (b+g)5 = 1 = 1b5 + 5b4g + 10 b3g2 + 10 b2g3 + 5 bg4 + 1g5 (family of size 5: (b+g)n = 1 = (family of size n)
