STAB52H3 Lecture Notes - Lecture 4: Electric Light, Cumulative Distribution Function, Sequence
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Suppose that you have 3 white left-footed socks and 7 white right-footed socks in the dryer amongst other articles of clothing. Solution: if we let x denote that number of left-footed socks obtained, then we immediately recognize that this random variable has a hypergeometric(10, 3, 2) distribution. Consequently, the probability of obtain one left-footed sock (and hence one of each foot) is given by. Last week, we considered many types of discrete distributions. Although they aimed to model di erent phenomena, what they all had in common was that there was a discrete (and non-empty) set of atoms (points which had positive probability of occurring). The other major type of random variables are those which have no atoms. De nition 2. 4. 1 a random variable x is continuous if p(x = x) = 0 for all x r. It may seem di cult to come up with a continuous distribution since every point x r has probability.
