Four balls are randomly placed one at a time into four urns, Ask an Expert

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Four balls are randomly placed, one at a time, into four urns (so that it is possible for more than one ball to be in any particular urn). Let the random variable X be the number of urns that are occupied. Let the random variable Y be the number of balls in the first urn.

(a) What type of distribution is Y, with what parameter or parameters?

(b) What is the value of E[Y] ?

(c) For each possible value of Y, beginning with the hightest (Y = 4), determine the probability mass function for the conditional probability P(X|Y).

(d) Are X and Y independent? Why or why not?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91001220

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