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Radioactive Emission

Particles are emitted by a radioactive source according to a Poisson process, at the rate of per hour. Find the probability that no particle is emitted during at least one of five consecutive hours.

    
Wolfram Language code: emissionProcess = PoissonProcess[Log[5]];
Wolfram Language code: ListLinePlot[RandomFunction[emissionProcess, {0, 10}], InterpolationOrder -> 0, Filling -> Axis]
Probability of no emission during at least one of five consecutive hours:
Wolfram Language code: 1 - NProbability[x[1] > 0, xemissionProcess] ^ 10