The number of particle emitted by radioactive source is poisson distributed .The source emits particle at the rate of 6 per minute .Each particle has a probability of .7 of being counted .Find the probability that 11 particle are counted in 4 minute
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Defining X to be the time in seconds for one alpha particle to be emitted.
Since it is a Poisson process, for one particle he have P(X>=2)=1-P(x<2)=1-Integral from 0 to 2 of ((e^(-4)*4^x)/(x!)). Since we have 2 alpha particles to be emitted then we square the answer.
I don't know if I got the integration and squaring the answer correctly.
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