SOLUTION: Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that t

Question 1150893: Textbook authors and publishers work very hard to minimize the number of errors in a text. However, some errors are unavoidable. Mr. J. A. Carmen, statistics editor, reports that the mean number of errors per chapter is 0.8 . What is the probability that there are less than 2 errors in a particular chapter?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let the event an appearing in a chapter be a .
Let "" represent the number of .
The number of errors in a chapter can be either ,,,...
==> "" can carry the values ,,,,...
==> "" is a discrete random variable with range = { ,, },..... [Countably infinite]

The probability distribution of "" is a .
Since there are a large number of trials all of which are identical and independent with only two possible outcomes in each trial, either a success (there being an error) or a failure (there not being an error), with the probability of success in all the trials remaining the same all thought.

The probability function of a Poisson distribution
==>

Parameter of the distribution
==> Mean of the distribution
==> Mean number of errors per chapter =
==> m =

Therefore

Probability that there are less than 2 errors in a chapter
==>
=
=
=
=
=
=
= approximately

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