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## Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen

Question

Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than

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Mathematics
3 years
2021-07-23T20:03:02+00:00
2021-07-23T20:03:02+00:00 1 Answers
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## Answers ( )

Answer:Step-by-step explanation:GivenPoisson distribution is given by:Solving (a): 8 bugsThis implies that:So, we have:Solving (b): At least 8 bugsThis is represented as:Using complement rule:Where

So:

Solving (c): At least 1This is represented as:Using complement rule:So:

Solving (d): Not more than 1This implies at most 1.It is represented as:It is calculated using:So: