Statistical Sciences 2244A/B Chapter Notes - Chapter 11-12: Statistical Inference, Binomial Distribution, Probability Distribution
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The binomial setting: fixed number of n observations, n observations are independent, each observation falls within a pass or fail status, the probability of success (p) is the same for each observation. Binomial distribution: requires parameters n and p, n is the number of observations, p is the probability of success on any one of the observation. But there different ways to arrange the success and fail order so we must use combinations. Binomial coefficient: the number of ways to arrange k successes among n observations is. Binomial table to help make things faster, also do things in reverse and then take 1 minus the value you get. Normal distribution isn"t affected by k or the number required for determining a success . Normal curve: symmetric, single-peaked and bell shaped curve: all normal distributions have the same overall shape and we know the exact cure density for a normal distribution with mean and standard deviation.