1, In an assessment of the quality of computer software, the number of errors per 1,000 lines of computer code is described asa Poisson distribution with an average of 7errors per 1,000 lines of code. X~Poisson(7).

Find the probability that in the next 1000 lines of codeexamined exactly 4 errors will be found,P(X=4).(Correct to three decimalplaces)

2, Suppose that the number of accidents occurring in an industrial plant is described by a Poisson distribution with an average of 0.1 accidents per month.

Find the probability that no accidentswill occur in the coming month,P(X=0).(Correct to three decimalplaces).

3, An insurance company has a toll-free phone number available from 10 a.m. to 6 p.m. every day, for customers to get a quote for car-insurance. Past history indicates that an average of0.7 calls are made to the toll-free number per minute.

The countXof number of calls made to the toll-free number can be modelled by a Poisson distribution. Using the Poisson probability formula, calculate the probability of getting at least two calls in a randomly selected minute.(Correct to three decimalplaces)