The Poisson distribution is a widely used discrete probability distribution in science: This distribution describes the number
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This distribution describes the number of events (x) occurring in a fixed period of time. The events occur with a known average rate corresponding to λ, and event occurrence does not depend on when other events occur. This distribution can be applied to describe the statistics of photon arrival at a detector as illustrated by the following:
a. Assume that you are measuring a light source with an average output of 5 photons per second. What is the probability of measuring 5 photons in any 1-second interval?
b. For this same source, what is the probability of observing 8 photons in any 1-second interval?
c. Assume a brighter photon source is employed with an average output of 50 photons per second. What is the probability of observing 50 photons in any 1-second interval?
DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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