SOC 885 Study Guide - Final Guide: Binomial Distribution
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Use table 1, appendix 3, to construct a probability histogram for the binomial probability distribution for n = 20 and p = . 5. Notice that almost all the probability falls in the interval 5 y. When a random variable satisfies the requirements to be a binomial random variable, it takes one of the possible values 0, 1, 2, up to n, the number of trails. The probability associated with each possible value y is denoted by. , called the binomial coefficient, is computed using the formula derived in the following ways. = n (n-1) (n-2) (2) (1) for n trials and they are multiplied together because the trails are independent. The binomial coefficient represents the number of different orders in which n trials can result in y success and n-y failures. The function in the above equation represents the probability of y successes in y trials, the term.