Lecture 6 Notes

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Unformatted text preview: ry 5, 2013 20 / 23 Normal Approximation to the Binomial Improvements Normal Approximation to the Binomial Improvements Example - Rolling lots of dice Example - Airline booking Roll a fair die 500 times, what’s the probability of rolling at least 100 ones? An airline knows that over the long run, 90% of passengers who reserve seats show up for flight. On a particular flight with 300 seats, the airline accepts 324 reservations. If passengers show up independently what is the probability the flight will be overbooked? Suppose that people travel in groups, does this increase or decrease the chance of overbooking? Sta102/BME102 (Colin Rundel) Lec 6 Normal Approximation to the Binomial February 5, 2013 21 / 23 Improvements Example - Voter support Suppose 55% of a large population of voters support actually favor a particular candidate. How large a random sample must be take for there to be a 99% chance that the majority of voters in the sample will favor that candidate? Sta102/BME102 (Colin Rundel) Lec 6 February 5, 2013 23 / 23 Sta102/BME102 (Colin Rundel) Lec 6 February 5, 2013 22 / 23...
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