STAT230 Chapter Notes -Probability Distribution, Cumulative Distribution Function, Probability Density Function

• School: University of Waterloo
• Department: Statistics
• Course: STAT230
• Professor: Mu Zhu

Document Summary

P(a) the probability of event a occur. Tossing two dice, sample space, ( ) ( ) ( ) ( ) ( ) . Let a = {obtaining a total of 10}, b = {obtaining a total greater than 10}. Remark: if elementary outcomes equally likely, then ( ) Suppose p ways to do job 1, q ways to do job 2, then pxq ways to do both 1 and 2. Suppose p ways to do job 1, q ways to do job 2, then p+q ways to do 1 or 2. Note: numbers of arrangement of the word statistics" = How many different ways to choose objects: without replacement, order matters, with replacement, order matters, without replacement, order doesn"t matter. Since it can be randomly shuffled, therefore: with replacement, order doesn"t matter. Example: birthday problem: given there are n people. Laws of total probability is a partition of , i. e. and.