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1 a compute the leading digits of the first 100 powers of 2 and see how well these data fit the benford distributionb
1 write a computer algorithm that simulates a hypergeometric random variable with parameters n k and n2 you are
there are an unknown number of moose on isle royale a national park in lake superior to estimate the number of moose 50
a bin of 1000 turnbuckles has an unknown number d of defectives a sample of 100 turnbuckles has 2 defectives the
cars coming along magnolia street come to a fork in the road and have to choose either willow street or main street to
1 the kings coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box the king is suspicious but
1 assume that the probability that there is a significant accident in a nuclear power plant during one years time is
1 feller5 discusses the statistics of flying bomb hits in an area in the south of london during the second world war
for a certain experiment the poisson distribution with parameter lambda m has been assigned show that a most probable
assume that we are making raisin cookies we put a box of 600 raisins into our dough mix mix up the dough then make from
1 an advertiser drops 10000 leaflets on a city which has 2000 blocks assume that each leaflet has an equal chance of
1 the probability of a royal flush in a poker hand is p 1649740 how large must n be to render the probability of
1 write a program for the user to input n p j and have the program print out the exact value of bn p k and the poisson
1 if a coin is tossed a sequence of times what is the probability that the first head will occur after the fifth toss
1 let x be a random variable which can take on countably many values show that x cannot be uniformly distributed2
let n be a positive integer let s be the set of integers between 1 and n consider the following process we remove a
suppose that we are the de- clarer in a hand of bridge and we have the king 9 8 7 and 2 of a certain suit while the
in the preceding exercise it is natural to ask how do we get the information that the given hand has an ace gridgeman
consider the two-armed bandit problem of example 424 bruce barnes pro- posed the following strategy which is a
write a program to allow you to compare the strategies play-the-winner and play-the-best-machine for the two-armed
previous experience with a drug suggests that the probability p that the drug is effective is a random quantity having
you proved the following if you take a stick of unit length and break it into three pieces choosing the breaks at
the acme super light bulb is known to have a useful life described by the density functionf t 01e-01t where time t is
here are two variations of the monty hall problem that are discussed by granberga suppose that everything is the same
physicists say that particles in a long tube are constantly moving back and forth along the tube each with a velocity