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1 you have 80 dollars and play the following game an urn contains two white balls and two black balls you draw the
on september 26 1980 the new york times reported that a mysterious stranger strode into a las vegas casino placed a
if the first roll in a game of craps is neither a natural nor craps the player can make an additional bet equal to his
1 show that if x and y are random variables taking on only two values each and if exy exey then x and y are
a die is rolled twice let x denote the sum of the two numbers that turn up and y the difference of the numbers
in a second version of roulette in las vegas a player bets on red or black half of the numbers from 1 to 36 are red and
1 in a class there are 20 students 3 are 5 6 5 are 58 4 are 510 4 are 6 and 4 are 6 2 a student is chosen at random
1 a card is drawn at random from a deck consisting of cards numbered 2 through 10 a player wins 1 dollar if the number
consider the simple queueing process of example 57 suppose that you watch the size of the queue if there are j people
suppose we are observing a process such that the time between occurrences is exponentially distributed with lambda 130
write a program to simulate the random variables whose densities are given by the following making a suitable bar graph
1suppose that the time in hours required to repair a car is an exponentially distributed random variable with parameter
1 bridies bearing works manufactures bearing shafts whose diameters are normally distributed with parameters micro 1
1 let x be a random variable with cumulative distribution function fx and let y x b z ax and w ax b where a and b
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