EC255 Lecture Notes - Lecture 7: Poisson Distribution, Exponential Distribution, London Academy Of Music And Dramatic Art
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Ec255 lecture #7: uniform, poisson, and exponential. =(cid:882). (cid:882)5(cid:884)8 i. e. a real estate office sells 1. 6 houses on an average weekday and sales of houses on weekdays are poisson distributed. Find the probability a battery will last between 10-15 hours: (cid:4666) (cid:2868)(cid:4667)=(cid:1857) (cid:3090)(cid:3116, p(10 < x < 15) = p(x 10) p(x 15) Different exponential distributions (not on formula sheet!!!: note that is the number of occurrences per time period is poisson with mean (cid:540), then the time between occurrences is exponential with mean time 1/ (cid:540) Learning objectives: normal random variable, normal distribution, standard normal distribution, normal table, calculating probabilities based on normal distributions finding values of z. Probability density of the normal distribution (not on formula sheet!!!) Finding probabilities: probability is measured by the area under the curve, since the curve is symmetric, half is above the mean while half is below.