The Hypergeometric distribution n The binomial distribution is made up of independent trials in which the probability of success does not change.
{"Image DocumentName": "The Hypergeometric distribution", "Image ImageDescription": "The binomial distribution is made up of independent trials in which the probability of success does not change. Another distribution in which the random variable X represents the number of successes among n trials is the hypergeometric distribution. The hypergeometric distribution assumes a fixed population in which the proportion or number of successes is known. We think of the hypergeometric distribution as involving trials without replacement and the binomial distribution involving trials with replacement. The classic illustration of the differences between the hypergeometric and the binomial distribution is that of black and white balls in a urn. Assume the proportion of black balls is p. The distribution of the number of black balls selected in n trials is binomial(x;n;p) if put the balls back in the urn after selection and hypergeometric(x;n;M,N) if we set them aside after selection. (engineering examples to come)", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}