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show that if the distribution of a positive random variable x is in a scale family then the distribution of log x is in
let x be a random variable having the gamma distribution gammaalpha gamma with a known alpha and an unknown gamma gt 0
show that if t is a sufficient statistic and t psis where psi is measurable and s is another statistic then s is
a bus traveling from baltimore to new york breaks down at a random location if the bus was seen running at wilmington
roads a b and c are the only escape routes from a state prison prison records show that of the prisoners who tried to
from an ordinary deck of 52 cards 10 cards are drawn at random if exactly four of them are hearts what is the
suppose that 10 dice are thrown and we are told that among them at least one has landed 6 what is the probability that
urns i and ii contain three pennies and four dimes and two pennies and five dimes respectively one coin is selected at
an experiment consists of first tossing an unbiased coin and then rolling a fair die if we perform this experiment
urn i contains 25 white and 20 black balls urn ii contains 15 white and 10 black balls an urn is selected at random and
an urn contains nine red and one blue balls a second urn contains one red and five blue balls one ball is removed from
a child is lost at epcot center in florida the father of the child believes that the probability of his being lost in
a student at a certain university will pass the oral phd qualifying ex-amination if at least two of the three examiners
adam and three of his friends are playing bridge a if in holding certain hand adam announces that he has a king what is
show that the family of exponential distributions ea theta with two unknown parameters a and theta is not an
show that the family of negative binomial distributions nbp r with two unknown parameters p and r is not an exponential
show that the family of cauchy distributions cmicro sigma with two unknown parameters micro and sigma is not an
an urn contains two red and four white balls balls are drawn from the urn successively at random and with replacement
a fair coin is flipped indefinitely what is the probability ofa at least one head in the first n flipsb exactly k heads
if two fair dice are tossed six times what is the probability that the sixth sum obtained is not a
suppose that an airplane passenger whose itinerary requires a change of airplanes in ankara amp39flukey has a 4 chance
an experiment consists of first tossing a fair coin and then drawing a card randomly from an ordinary deck of 52 cards
let s be the sample space of a repeatable experiment let a and b be mutually exclusive events of s prove that in
suppose that n gt 2 missiles are fired at a target and hit it independently if the probability that the ith missile