PSTAT 120A Lecture Notes - Lecture 10: Standard Deviation, Sample Space

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Note: variance gives information about the spread of the values of x. That is, and in such a way that stays finite. If is large enough and , then , where: and , or. Example: on average, 3 people in the us are abducted by aliens each week. Let x = # of people abducted next week the probabiliy that less than 2 people are abducted next week? the us and p = probability of getting abducted next week. Since n is large and , we can use a poisson rv to approximate: Theorem: let be rvs on the same sample space then and y are on sample space, then. Example: suppose we flip a biased coin with probability of 0. 9 of landing heads. You win if heads appears, and pay if tails appears. Example: to make some money for summer vacation, you give bike tours of i. v.

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