hypothetical triathlon competition includes three sequential activities: running, cycling, and swimming. Each participant attempts to break the fastest time achieved in previous competitions, currently set at T = 2 hr. The times for completing the three activities for this specific participant are exponentially distributed with mean 12 min for running, 1.1 hr. for cycling, and .7 hr. for swimming; that is,

Develop Excel model to estimate the chances of a specific participant beating the current record based on six simulation runs and 10 trials per run.

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f;(t) E₁(t) =X₁₂e-₁²₂ λ₁₂ = ₁ (1) ₂i = 1,2,3 e-^it, E .2 hr, E₂ (t) = 1.1 hr, E3(t) = .7 hr = =