Particles are emitted by material with wet radioactivity according to Poisson process with a rate of 10 particles emitted every half minute, which is to say the time between two emissions is independent of each other and has an exponential distribution.
1) What is the probability that (after ) the 9th
particle is emitted at least 5 seconds earlier than the 10th one
?
2) What is the probability that, up to minutes, at
least 50 particles are emitted? Write down the exact expression for
this probability and calculate it with approximation by the central
limit theorem method.
3) Given the condition that up to minutes, 30
particles have been released. Find the expectation of number of
particles will be emitted by the time
minute
Particles are emitted by material with wet radioactivity according to Poisson process with a rate of...
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