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the pheno data set contains phenotype information for 2457 subjects from the finland-united states investigation of
the kernel of a joint continuous distribution is x2y3 on 0 12a determine the pdfb determine px le y c are x and y
alice and bob agree to meet at the dining hall for supper unfortunately neither of them is very organized or very
suppose you have 10 light bulbs and that the lifetimes of the bulbs are independent and exponentially distributed with
another way to pick a point in a circle of radius r at random is to independently pick an angle a sim unif0 2pi and a
ralph and claudia are playing a game in which the higher score wins ralphs scores in this game are approximately
suppose x and y are independent random variables with x sim poislambda1 and y sim poislambda2 is x y a poisson random
suppose x and y are independent random variables with x sim binomn pi1 and y sim binomn pi2 is x y a binomial random
suppose x and y are independent random variables with x sim gammaalpha1 lambda and y sim gammaalpha2 lambda is x y a
suppose x and y are independent random variables with x sim gammaalpha lambda1 and y sim gammaalpha lambda2 is x y a
the moment generating function for a random variable x is mxt e-lambdalambdaet find the mean and variance of
the moment generating function for a random variable x is mxt ealphatbetat22 find the mean and variance of
the moment generating function for a random variable x is mxt 1 - alphat -k find the mean and variance of
beginning in 1995 sat-v and sat-m scores were normalized using new formulas designed so that the reference group had a
the lifetime of a certain type of vacuum tube is modeled by x sim weibullalpha 2 beta 3 compute the followinga ex and
a scientist suggests that x sim betaalpha 5 beta 2 is a good model for the proportion of surface area in a randomly
a histogram is a kernel density estimate define a kernel function so that the resulting kernel density estimate will be
five cards are dealt from a well-shuffled standard deck of cards 52 cards let k be the number of kings dealt and let h
an urn contains 5 red balls 3 blue balls and 2 white balls three balls are drawn from the urn at random without
let x and y be independent binomn pi-random variables let z x y show the followinga z sim binom2n pib the conditional
question define two pdfs f and g such that f and g are not identical but give rise to the same cdfs the corresponding
sums of independent random variablesa show that for any random variables x y and zex y z ex ey ez b show that
describe a joint distribution of random variables x and y such that covx y 0 but x and y are not
alice lets take turns flipping a coin the first person who gets heads wins ill go first bob but you might win on the