STAT200 Lecture Notes - Lecture 4: Binomial Distribution, Binomial Theorem, Random Variable

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Binomial random variables: this happens when the result of the experiment is a dichotomy. It is a cumulative table: summary, the binomial is a special form of the discrete random variable, there are other discrete random variables. If you know it is a binomial random variable it makes it easy to solve for the probability, mean and variance: the probabilities you can use, binomial formula, binomial tables, excel also has functions to solve for binomials. Normal distribution: continuous random variables and the normal distribution, probabilities is a numerical measure of the likelihood that event a will occur, p(a, prob(a, the basic definition is, #favorable events/total #outcomes. It is referred to as a probability density function: pdf, f(x, when dealing with a pdf . It is defined by two parameters: mu the mean, the sd, for every distribution with a mean (mu) and a sd there is a different normal curve, thus, there are an infinite number of normal curves.