SOLUTION: Data files on computers have sizes measured in megabytes. When files are sent from one computer to another down a communications links, the number of errors has a Poisson distribut

Question 1050271: Data files on computers have sizes measured in megabytes. When files are sent from one computer to another down a communications links, the number of errors has a Poisson distribution. On average, there is one error for every 10 megabytes of data.
a. Find the probability that a 3 megabyte files is transmitted
(i) without error; (ii) with 2 or more errors.
b. Show that a file which has a 95% chance of being transmitted without error is a little over half a megabyte in size.
A commercial organisation transmits 1000 megabytes of data per day.
c. State how many errors per day they will incur on average.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a. error.
(i) The pmf is ====> , to two significant figures.
(ii)

b. Let s = number of megabytes transmitted.
===>
===>
===> .
We want .
===> s = -10ln0.95 = 0.51 megabyte of files transmitted, and the statement is proved.

c. The average is = 100 errors.

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