SOLUTION: In a certain communications system, there is an average of 1 transmission error per 10 seconds Let the distribution of transmission errors, say X be a Poisson distribution. What is

Algebra.Com
Question 1174512: In a certain communications system, there is an average of 1 transmission error per 10 seconds Let the distribution of transmission errors, say X be a Poisson distribution. What is the probe ability of more than 1 error in a communication half minute in duration?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The errors are proportional to time, so would expect the half-minute distribution to be Poisson with lambda=3.
probability of 0 and 1 are
p(0)=e^(-3)^3^0/0!=0.0498
p(1)=e^(-3)*3^1/1!=0.1494
that sum is 0.1992
the probability of more than 1 is the complement or 0.8008

RELATED QUESTIONS

Data files on computers have sizes measured in megabytes. When files are sent from one... (answered by robertb)
One percent of bits transmitted through a digital transmission are received in error.... (answered by Boreal)
The time in seconds to cover a distance of 500 meters at an average speed of 10 meters... (answered by Alan3354)
In the summer of 2010, Mr.Butler purchased a pre-owned Ford Expedition that averaged 12.1 (answered by TimothyLamb)
Resource Reservation Protocol (RSVP) was originally designed to established signaling... (answered by rothauserc)
Suppose that, on average, in every two pages of a book there is one typographical error,... (answered by Boreal)
A student has committed the errors which follows the Poisson distribution with an... (answered by Boreal)
During the registration period, St. Mary’s Univeristy has a technician in its service... (answered by ewatrrr)
It takes an average of 40 seconds to download a certain file, with a standard deviation... (answered by proyaop)