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question one of the most commonly used but not one of the best methods of generating pseudorandom numbers is the linear
question an urn contains p black balls q white balls and r red balls and n balls are chosen without replacementa find
question three players play 10 independent rounds of a game and each player has probability 12 of winning each round
question a sieve is made of a square mesh of wires each wire has diameter d and the holes in the mesh are squares whose
question buffons needle problem a needle of length l is dropped randomly on a plane ruled with parallel lines that are
question suppose that x y is uniformly distributed over the region defined by 0 le y le 1 - x2 and -1 le x le 1a find
question a point is uniformly distributed in a unit sphere in three dimensionsa find the marginal densities of the x y
question let x y be a random point chosen uniformly on the region r x y xy le 1a sketch rb find the marginal
question suppose that in a certain population individuals heights are approximately normally distributed with
question a system has independent units each of which fails with probability p the system fails only if k or more of
question this problem deals with an elementary aspect of a simple branching process a population starts with one member
question here is a simple model of a queue the queue runs in discrete time t 0 1 2 and at each unit of time the
question a player throws darts at a target on each trial independently of the other trials he hits the bulls-eye with
question this problem introduces some aspects of a simple genetic model assume that genes in an organism occur in pairs
question many human diseases are genetically transmitted for example hemophilia or tay-sachs disease here is a simple
question if a parent has genotype aa he transmits either a or a to an offspring each with a 12 chance the gene he
question an experiment consists of throwing a fair coin four times find the frequency function and the cumulative
question suppose that chips for an integrated circuit are tested and that the probability that they are detected if
question a factory runs three shifts in a given day 1 of the items produced by the first shift are defective 2 of the
question a box has three coins one has two heads one has two tails and the other is a fair coin with one head and one
question a teacher tells three boys drew chris and jason that two of them will have to stay after school to help her
question there are three cabinets a b and c each of which has two drawers each drawer contains one coin a has two gold
question a couple has two children what is the probability that both are girls given that the oldest is a girl what is
question this problem introduces a simple meteorological model more complicated versions of which have been proposed in
question a fire insurance company has high-risk medium-risk and low-risk clients who have respectively probabilities 02