A nuclear particle counter records only every second particle arriving to the counter. If particles arrive in accord with a Poisson process of intensity A = 2 per minute, compute the probability of the counter recording k particles in the firstt minutes. Assume that the counter starts counting just after the arrival of the second particle. Choose the closest answer when k =t = 2, (A) 28% (В) 30% (C) 32% (D) 25% (E) 35%

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6. A nuclear particle counter records only every second particle arriving to the counter. If particles
arrive in accord with a Poisson process of intensity A = 2 per minute, compute the probability of
the counter recording k particles in the first t minutes. Assume that the counter starts counting
just after the arrival of the second particle. Choose the closest answer when k = t = 2,
(A) 28%
(В) 30%
(С) 32%
(D) 25%
(E) 35%
Transcribed Image Text:6. A nuclear particle counter records only every second particle arriving to the counter. If particles arrive in accord with a Poisson process of intensity A = 2 per minute, compute the probability of the counter recording k particles in the first t minutes. Assume that the counter starts counting just after the arrival of the second particle. Choose the closest answer when k = t = 2, (A) 28% (В) 30% (С) 32% (D) 25% (E) 35%
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