STT 315 Study Guide - Midterm Guide: Random Variable, Standard Deviation, Probability Plot

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Discrete: random variables that can assume a countable number. # of sales made by a sales person in a week. Continuous: assume values corresponding to any of the points contained in one or more intervals. Length of time between arrivals at a hospital clinic. There are only two possible outcomes for each trial. We will denote one outcome by s(for successes) and the other by f(failure) The probability of s remains the same from trial to trial. This probability os denoted by p, and the probability of f is denoted by q. The binomial random variables x is the number of s"s in n trials. P(x)= ((cid:2196))(cid:2198)(cid:2199)(cid:2196) (cid:4666)=(cid:2777),(cid:2778),(cid:2779) . ,(cid:2196)(cid:4667) p=probability of success on a single trial q=1-p n=number of trials x=number of successes in n trials n-x= number of failures in n trials (cid:2196)= (cid:4666)(cid:2196) (cid:4667)!