Statistical Sciences 1023A/B Lecture 18: L18 Probability continued
31 Aug 2016
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If one event is contained inside another event, then it can"t have a higher probability than that event. Event x is contained event y if the ways x can occur are a subset of ways y can occur. If x is contained in y, p(x) equal or more than p(y) The average value of any measurement over long run (or mean value) The money won depends on what # rolls face-up on the fair die. Multiply probability of given outcome by it"s value. Probability that an event will occur, given knowledge that another event has already occurred. P (a|b) = p (a and b)/ p (b) Restricts our attention to a subset of the population. What is the probability of testing +ve for the the disease if you don"t have the disease. 1 out of 100 ppl, test says they have it 9. 5/10 + correctly says someone doesn"t have it 9/10. Conditional situations are easier to comprehend w/ conditional distributions.
