(13) If the light bulbs in a house fail according to a Poisson law, and over the last 15 weeks there
have been 5 failures, find the probability that there will not be more than one failure next
week.
Answers
Answer:
The Poisson Distribution was developed by the French mathematician Simeon Denis Poisson in 1837.
The Poisson random variable satisfies the following conditions:
The number of successes in two disjoint time intervals is independent.
The probability of a success during a small time interval is proportional to the entire length of the time interval.
Apart from disjoint time intervals, the Poisson random variable also applies to disjoint regions of space.
Applications
the number of deaths by horse kicking in the Prussian army (first application)
birth defects and genetic mutations
rare diseases (like Leukemia, but not AIDS because it is infectious and so not independent) - especially in legal cases
car accidents
traffic flow and ideal gap distance
number of typing errors on a page
hairs found in McDonald's hamburgers
spread of an endangered animal in Africa
failure of a machine in one month
Answer:
above answer is correct