Probability

Hitting Three with Competing Poisson Processes

Difficulty
xxx \(x_x(x)\) xxx \(x_x(x)\) xx xxxxxxxxxxx xxxxxxxxxxx xxxxxxx xxxxxxxxx xxxx xxxxxxxxxxx \(x_x\) xxx \(x_x\), xxxxxxxxxxxx. xxxxxx \(x(x)=xx_x(x)+xx_x(x)\), xxxx \(x(x)=x\). xxx x xxxxx xxxxxxxx \(x>x\), xxxx xx xxx xxxxxxxxxxx xxxx xxxxx xxxxxx x xxxx \(x\xxx\xxx<x\) xxxx xxxx \(x(\xxx)=x\)?

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