Question: 6. Let 1k be the indicator function of the event that, when there are 2k ends, a new hoop is created at the next step.
6. Let 1k be the indicator function of the event that, when there are 2k ends, a new hoop is created at the next step. Then E(1k ) = k
????2k 2
= 1/(2k − 1). The mean final number of hoops is Pn k=1 E(1k ).
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