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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
place five similar balls each either red or blue in a bowl at random as follows a coin is flipped 5 independent times