Question: Ai is a sequence of i.i.d continuous random variables. A spike is defined at time y if: An max{A1,...,Ay1}. Y is the overall number of

Ai is a sequence of i.i.d continuous random variables.

A spike is defined at time y if:

An max{A1,...,Ay1}.

"Y" is the overall number of spikes that has happened by the time "y."

Find E[Y] and Var(Y).

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