A cattle rancher is preparing to brand his cattle. A single brander is working, who can finish

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A cattle rancher is preparing to brand his cattle. A single brander is working, who can finish one steer in exactly 5 seconds. If cattle arrive to the brander according to a Poisson process with rate 10 per minute, find the limit as \(t \longrightarrow \infty\) of the probability that there are 3 or fewer cattle waiting at time \(t\).

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