01:960:285 Lecture Notes - Lecture 13: Probability Density Function, Cumulative Distribution Function, Random Variable

• School: Rutgers University
• Department: Statistics and Biostatistic
• Course: 01:960:285
• Professor: Zhanyun Zhao

Document Summary

Stat 285-lecture 13-other discrete distributions and normal distributions: poisson distribution, when poisson is used on the exam, the teacher will specify. The number of accidents this month is independent that of the number of accidents last month: mean: (cid:2020)=(cid:2019) Probability distribution: (cid:4666)(cid:4667) = (cid:3338)! where the greek character lambda represents the long run average for all units of time measured. Poisson table : returns the cumulative probability having any value x under a particular value k. will be given on the exam if needed: key formulas, example here: https://math. iitm. ac. in/public_html/vetri/statistics/poisson. pdf, example problems: Find answer by checking poisson table: answer is 0. 2674, find probability that x is exactly 2. 2. 6 and subtracting previous value: answer is 0. 251, find probability that x is greater than 2. Probability of a certain range of values is the integral from the lowest number to the highest number in the range. Total area must be one, as probability must sum to 1. 0 at most.