Statistical Sciences 2244A/B Lecture 5: STATS 2244B- Binomial Distributions
17 Jan 2019
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The binomial setting: there are a fixed number of n observations, the n observations are all independent. Knowing the [outcome of one single-birth] does not change the probability of the [outcome of any other single-birth delivery] = single-births are independent. Each single-birth delivery is either a baby girl or boy = two categories. Call the single-birth of a girl a success (arbitrary choice) = p is the probability of a girl and remains the same over all of the single-births overseen by the obstetrician. In example #1, the number of girls we count is a discrete random variable, x (where x includes x1, x2, x3, ,xn). Random variables: a variable whose value is an assigned numerical outcome of a random phenomenon. Assign each outcome si to a number called x. We can now deal with x instead of s1, s2, , sn. S = {girl, girl, girl, boy, boy, girl, }. Head is assigned with 1 and tail is 0.
