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suppose we play a game where we start with c dollars on each play of the game you either double or halve your money
1 computer experiment suppose a coin has probabilitynbsppnbspof falling heads up if we ip the coin many times we would
1 suppose that 30 percent of computer owners use a macintosh 50 percent use windows and 20 percent usenbsp linuxnbsp
1 suppose that a and b are independent events show that ac and bc are independent events2 there are three cards the rst
1 for xed b such that pb gt 0 show that pmiddotb satises the axioms of probability2 you have probably heard it before
1 consider the data in example 86 find the plug-in estimate of the correlation coecient estimate the standard error
100 people are given a standard antibiotic to treat an infection and another 100 are given a new antibiotic in the rst
get the data on eruption times and waiting times between eruptions of the old faithful geyser from the website estimate
data on the magnitudes of earthquakes near fiji are available on the website for this book estimate the cdfnbspfx
get the passenger car mileage data from httplibstatcmuedudasldatalescarmpgdathtmla fit a multiple linear regression
1 computer experiment compare the risk of the mle and the james- stein estimator 1212 by simulation try various values
1nbspcards are drawn one at a time without replacement from a deck of 52 cards until the first club card is obtained
1 an urn has two white and three green balls a number is selected at random fromnbsp1 2 3 4 5 and then that many balls
1 from a town of 25 republicans and 25 democrats pollsters a and b each sampled ten residents at random without
1 a fair die is rolled 12 times given that there are exactly two ones what is the probability that there are exactly
1 an urn contains four black four white and four blue balls three balls are drawn at random from the urn is it more
1 a a six-sided die is manipulated in such a way that the face with the numbernbspinbsphas probability proportional
1 simple application of ewens formulanbspin a population nbspwithnbspnnbspdnbsp10nbspanimals compute the probability
1 poisson approximation in hoppes urnnbspconsider a hoppe urn withnbspnbspdnbsp1 find the exact distribution
1 supposenbspnnbspballs are distributed intonbspnnbspurns according to the maxwell-boltzmann scheme and that the
1 suppose five balls are distributed into three urns according to the bose-einstein scheme find the probability that at
1 nbspreversibility of a chainnbspa stationary chain fxng with transition probabilitiesnbsppijnbspis called reversible
constructing examplesnbspconstruct an example of each of the following phenomenaa a markov chain with only absorbing
1 wheel of fortune continuednbspconsider again the markov chains corresponding to the wheel of fortune prove or
absent-minded professornbspa mathematics professor has two umbrellas both of which were originally at home the