Question: Lets say m rings are tossed at random around n pegs. Each throw is inde- pendent of all other throws. Let Y is the number

Lets say m rings are tossed at random around n pegs. Each throw is inde-

pendent of all other throws. Let Y is the number of pegs left unoccupied.

1) Express Y as a sum of indicator random variables.

2) Using method of indicators, nd E[Y ]

3) Using method of indicators, nd V ar[Y ].

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