Larry’s batting average is 0.260. If he’s at bat four times, what is the probability that he gets exactly two hits? Example Solution: n = 4, p = 0.26, x = 2 binompdf(4,0.26,2) = 0.2221 = 22.2% Online PDF Calculator Probability Density Mean Standard Deviation Function (PDF) Geometric Distribution A series of independent trials with the same probability of a given event. Probability that it takes a specific amount of trials to get a success. Can answer two questions: Conditions a) Probability of getting 1st success on the trial b) Probability of getting success on trials Since we only count trials until the event occurs the first time, there is no need to count the arrangements, as in the binomial distribution. p = probability that the event occurs on a given trial Variables = # of trials until the event occurs the 1st time [2nd] [DISTR] E:geometpdf(p, x) TI-84 [2nd] [DISTR] F:geometcdf(p, x) Suppose that a car with a bad starter can be started 90% of the time by turning on the ignition. What is the probability that it will take three tries to get the car started? Example Solution: p = 0.90, X = 3 geometpdf(0.9, 3) = 0.009 = 0.9% Online PDF Calculator Probability Density Mean Standard Deviation Function (PDF) Poisson Distribution
Example Larry’s batting average is 0.260. If he’s at bat four times, what is the probability that he gets exactly two hits? Solution: n = 4, p = 0.26, x = 2 binompdf(4,0.26,2) = 0.2221 = 22.2% Online PDF Calculator Probability Density Function (PDF) Mean Standard Deviation Geometric Distribution Conditions A series of independent trials with the same probability of a given event. Probability that it takes a specific amount of trials to get a success. Can answer two questions: a) Probability of getting 1st success on the trial b) Probability of getting success on trials Since we only count trials until the event occurs the first time, there is no need to count the arrangements, as in the binomial distribution. Variables p = probability that the event occurs on a given trial = # of trials until the event occurs the 1st time TI-84 [2nd] [DISTR] E:geometpdf(p, x) [2nd] [DISTR] F:geometcdf(p, x) Example Suppose that a car with a bad starter can be started 90% of the time by turning on the ignition. What is the probability that it will take three tries to get the car started? Solution: p = 0.90, X = 3 geometpdf(0.9, 3) = 0.009 = 0.9% Online PDF Calculator Probability Density Function (PDF) Mean Standard Deviation Poisson Distribution