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suppose a fair coin is flipped n times and the random variable y counts the number of times heads occurswhat is the
consider an n -letter source with probabilitiesnbspnbspthe source is given bynbspnbspprove that the discrete
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imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter you are told
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use the characteristic function or the moment-generating function or the probabilitygenerating function to show that a
let x be a random variable that is uniformly distributed over the interval 0 100 form a new random variable y by
a poisson random variable has a pmf of the formk 012a find the characteristic functionnbspb find the first three
derive a relationship between the k th factorial moment for a nonnegative integer valued random variable and the
for a poisson random variable whose pmf is given bynbspk 012 find the followinga the probability-generating function
suppose hxz is the probability-generating function of some random variable x with pmf pxnbspk in terms of pxnbspk find
derive an expression for the moment-generating function of a rayleigh random variable whose pdf
suppose x is a rician random variable with a pdf given byderive an expression for note that this is not quite the
a gaussian mixture is a random variable whose pdf is a linear combination of two gaussian pdfsa find the
a random variable has a moment-generating function given bya find the pdf of the random variableb use the
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suppose x is a random variable whose n th moment is gn n 1 2 3in terms of the gn find an expression for the m th