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a number is to be selected from the interval x 0 ltgtx ltgt2 by a random process let a x i - 12 x i2 i 1 2 3 and
assume that the weight of cereal in a 10-ounce box is n micro ai to test h0 micro 10l against h1 micro gt 101 we
discuss the problem of finding a confidence interval for the difference micro1 - micro2 between the wo means of two
let x1 x2 x be a random sample from nmicro er where both parameters micro and u2 are unknown a confidence
1 it is known that a random variable x has a poisson distribution with parameter micro a sample of 200 observations
1 let y be b300 p if the observed value of y is y 75 find an approximate 90 percent confidence interval for p2 let x
1 let y be x2n what is the limiting distribution of z ft - jr12 let i be the mean of a random sample of size n from a
1 a die is rolled 720 independent times compute approximately the probability that the number of fives that
1 let x be the number of times that no heads appear on two coins when these two coins are tossed together n times find
a nail manufacturer guarantees that not more than one nail in a box of 100 nails is defective ifin fact the probability
let un and vn converge in probability to c and d respectively prove the followinga the sum un vn converges in
1 let x 1r 1 x oo zero elsewhere be the pdf of a random variable x consider a random sample of size 72
1 let x denote the mean of a random sample of size 100 from a distrishy bution that is x250 compute an approximate
let xn denote the mean of a random sample of size n from a distribution that has pdf f x e-x 0 ltgtx ltgtoo zero
a person rolls a die tossesmiddota coin and draws a card ftom an ordinary deck he receives 3 for each point up on the
variation exists in virtually all parts of our lives we often see variation in results in what we spend utility costs
1 find the mean and the varialce of y x -2x2 3x3 where x x 2 x 3 are observations of a random
question hypotheses what is a hypothesis test why do we need to use them to make decisions about relating sample
let x1 x2 be a random sample of size 2 from a distribution with positive variance and mgf m t if y x1 xi and z
in the program evaluation and review technique pert we are interested in the total time t of a large number of
1 two numbers are seleeted at random from te interval 0 i if these values are uniformly and independently
let y ltgty2 ltgty3 ltgty4 be the order statistics of a random sample of size n 4 from a distribution with pdf fx 2x
1 if a random sample of size 2 is taken from a distribution having pdf jx 21 - x 0 ltgtx ltgt1 zero elsewhere compute
let nbspx nbspxnbsp 1 2 3 4nbsp5nbsp6 nbspzero nbspelsewhere be the pdf of a distribution of the discrete type show
1 if a die is rolled four independent times what is the probability of one four two fives and one six given that at