Statistical Sciences 2244A/B Chapter Notes - Chapter 12: Random Variable, Sampling Distribution
Document Summary
1. there are a fixed number n of observations. So knowing one observation doesn"t affect the probability of the observation. 3. observations fall into two groups: success or failure. 4. probability of success (p) is the same for each observation. Ex. doctor sees n births, knowing one kid is a boy doesn"t affect the gender of the next boy. Let us call a girl a success (p), p is the probability of getting a girl and it stays the same through all the births done. The number of girls we count is a discrete random variable x. the distribution of x is called a binomial distribution. Binomial distribution is the count x of successes in the binomial setting with parameter n and p. the parameter (n) is the number of observations, and p is the probability of success on any one observation. The possible values of x are from 0 to n.