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requirements1nbspnbspnbspnbspnbsp write an analysis as if you are working in the company and writing to the
instructionsnbspthe faculty member will guide the formation of the groups and the groups will be created as study
what sources have helped shape your personal code of ethics and morality what influences if any have ever pressured you
a random walker starts at one vertex of a triangle moving left or right with probability 12 at each step the triangle
given an event a define the conditional expectation of y given a aswhere ianbspis the indicator random variablea let y
let x and y be independent and uniformly distributed on 0 1 let m minx y and n maxx
let x and y have joint density functiona find and describe the conditional distribution of x given y yb find exy y
on one block of eat street in downtown minneapolis there are 10 restaurants to choose from the waiting time for each
let x and y have joint densitya by examining the joint density function can you guess the conditional density of x
let x and y be uniformly distributed on the triangle with vertices 00 10 and 11a find the joint and marginal densities
i write a function to simulate a random walk in the plane that moves up down left and right with equal probability use
see the code in example 913 for generating a simple random walk write a function for simulating a biased random walk
the following code was used to generate the graphs in figure 93 modify the code to illustrate the strong law of large
use the mgfs to show that the binomial distribution converges to the poisson distribution the convergence is taken so
let x be a random variable not necessarily positivea using markovs inequality show that for x gt 0 and t gt 0assuming
let x be a random variable with mean mu and standard deviation sigma the kurtosis of x is defined asthe kurtosis is a
let x be a random variable with mean mu and standard deviation sigma the skew ness of x is defined asskew ness is a
find the second third and fourth moments of the exponential distribution using the mgfs give a general expression for
let x and y be independent binomial random variables with parameters m p and n p respectively use the mgfs to show that
let x and y be independent standard normal random variables find the mgf of x2y2 what can you conclude about the
a random variable x takes values -1 0 and 2 with respective probabilities 02 03 and 05 find the mgf of x use the mgf to
consider a biased random walk that starts at the origin and that is twice as likely to move to the right as it is to
a random variable y is said to have a lognormal distribution if log y has a normal distribution equivalently we can
consider a random walk as described in example 913 after one million steps find the probability that the walk is within
let x1x10nbspbe independent poisson random variables with lambda 1a what does markovs inequality say about this