The occurrence of catastrophic accidents at Sosal & Sons follows a homogeneous Poisson process with intensity (lambda=3)

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The occurrence of catastrophic accidents at Sosal & Sons follows a homogeneous Poisson process with intensity \(\lambda=3\) a year.

(1) What is the probability \(p_{\geq 2}\) that at least two catastrophic accidents will occur in the second half of the current year?

(2) Determine the same probability given that two catastrophic accidents have occurred in the first half of the current year.

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