Question: 8.12. A radioactive source is observed during 7 time intervals each of ten seconds in duration. The number of particles emitted during each period is

8.12. A radioactive source is observed during 7 time intervals each of ten seconds in duration. The number of particles emitted during each period is counted. Suppose that the number of particles emitted, say X, during each observed period has a Poisson distribution with parameter 5.0. (That is, particles are emitted at the rate of 0.5 particles per second.)

(a) What is the probability that in each of the 7 time intervals, 4 or more particles are emitted?

(b) What is the probability that in at least 1 of the 7 time intervals, 4 or more particles are emitted?

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