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a find the density for the standard normal random variable zb find fz show that the only critical point for f occurs at
1 let y denote the diameter in millimeters of styrofoam pellets used in packing assume that y has a log-normal
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a chemical reaction is run in which the usual yield is 70 a new process has been devised that should improve the yield
normal approximation to the poisson distributionlet x be poisson with parameter as then for large values of as x is
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a system consists of two independent components connected in series the lifespan of the first component follows a
1 suppose that a missile can have several independent and identical computers each with reliability 9 connected in
1 simulate 20 observations on the random variable x the time to failure of the signal lights on an automobile
past evidence shows that when a customer complains of an out-of-order phone there is an 8 chance that the problem is
use to find each of these probabilitiesa the probability that exactly two defective welds and one improperly tightened
1 show that covxy exy - exey remember that gx ex and gy ey2 prove that var x y var x var y 2 cov x y3 use the
a find the curve of regression of x on y is the regression linearb find the mean price paid by the carrier for a barrel
an interactive computer system is available at a large installation let x denote the number of requests for this system
stress tests are conducted on fiberglass rods used in communications networks the random variable studied is x the
let x denote the number of heads obtained when a fair coin is tossed four timesa what is ex and var xb perform the
1 use the information obtained in to find an estimator for a2 the variance of a gamma random variable is the estimator
1 find the method of moments estimator for the parameter p of a geometric distribution2 let x be normal with mean p and
1 let w be an exponential random variable with parameter b unknown find the maximum likelihood estimator for b based on
a study of the noise level on takeoff of jet airplanes at a particular airport is studied the random variable is x the
a new material is being tested for possible use in the brake shoes of automobiles these shoes are expected to last for
let x denote the time required to do a computation using an algorithm written in fortran and let y denote the time
central limit theorem consider the experiment of tossing a fair die once let x denote the number that occurs
when a computer goes down there is a 75 chance that it is due to an overload and a 15 chance that it is due to a