A telephone company’s goal is to have no more than six monthly line failures on any 100 kilometres of line. The company currently experiences an average of three monthly line failures per 50 kilometres of line. Let x denote the number of monthly line failures per 100 kilometres of line. Assuming x has a Poisson distribution:

Question

a) Find the probability that the company will meet its goal on a particular 100 kilometres of line.
b) Find the probability that the company will not meet its goal on a particular 100 kilometres of line.

Answer 1

A company has three machines A, B and C which all produce the same two parts, X and
Y. of all the parts produced, machine A produces 60%, machine B produces 30%, and
machine C produces the rest. 40% of the parts made by machine A are part X, 50% of the
parts made by machine B are part X, and 70% of the parts made by machine C are part X.
A part produced by this company is randomly sampled and is determined to be an X part.
With the knowledge that it is an X part, find the probabilities that the part came from
machine A, B or C.

Answer 2

•statistics of business - Tofik, Sunday, April 24, 2016 at 3:50pm
A company has three machines A, B and C which all produce the same two parts, X and
Y. of all the parts produced, machine A produces 60%, machine B produces 30%, and
machine C produces the rest. 40% of the parts made by machine A are part X, 50% of the
parts made by machine B are part X, and 70% of the parts made by machine C are part X.
A part produced by this company is randomly sampled and is determined to be an X part.
With the knowledge that it is an X part, find the probabilities that the part came from
machine A, B or C.