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question let ii be a random proportion between 0 and 1 for example the proportion of black balls in an urn picked at
question let a and b be events and let y be a random variable uniformly distributed on 0 1 suppose that conditional on
question in a particular town 10 of the families have no children 20 have one child 40 have two children 20 have three
question suppose 1 toss coins some of the them land heads and some land tails those that land tails 1 toss again let x
question random walk inside circles fix r gt 0 draw a circle centered at 0 0 with radius r let x1 y1 be picked
question suppose the names of all the children in the town are put into a hat and a name is picked put at random so now
question let a1 a20nbspbe independent event each with probability 12 let x be the number of events among the first 10
question let x1nbspand x2nbspbe independent poisson random variables with parameters lambda1nbspand lambda2a show that
question conditioning independent poisson variables on their sum let n be independent poisson variables with parameters
question poissonization of the binomial distribution let n have poisson lambda distribution let x be a random variable
question independence in poissonization of the binomial distribution suppose you roll a random number of dice if the
question suppose that n is a poisson random variable with parameter micro suppose that given n n random variables x1
question a marksman fires at the center of a target he hits a random point x y measured relative to the center of the
question a needle is tossed at random on a grid of equally spaced parallel lines assume the needle is so much longer
question random walk inside squares draw a square centered at 0 0 with sides of length 2 parallel to the axes so the
question take a unit cube in three dimensions cut the cube by a plane perpendicular to the line from its corners 0 0 0
question coin in a can a coin of diameter 1 inch is tossed in the air and caught in an empty soup can of bottom radius
question for a particular kind of call the phone company charges 1 for the first minute of any portion thereof and one
question let x be the number of heads in two fair coin tosses suppose u has uniform distribution on 0 1 independently
question suppose the ac transit bus scheduled to arrive at my corner at 810 a m but its actual arrival time is normal
question peter and paul agree to meet at a restaurant at noon peter arrives at a time normally distributed with mean
question suppose heights in a large population are approximately normally distributed with a mean of 5 feet 10 inches
question in a large corporation people over age thirty have an annual income whose distribution can be approximated by
question independence of radial and angular parts let x and y be independent normal 0 sigma2 random variables let r
question a computer job must pass through two queues before it is processed suppose the waiting time in the first queue