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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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 Spring '08
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 Statistics, Binomial, Biostatistics, Probability

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