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Occurring a bug in software follows the poisson distribution(mean = 100). Each bug becomes an error...

Occurring a bug in software follows the poisson distribution(mean = 100). Each bug becomes an error independently after certain time which follows exponential distribution(mean = 10).
When an error appears in system, it will be eliminated immediately.

(1) After 100 hours, find probability that number of eliminated errors is 5

(2) Find the expected number of bugs still remain in software.

(Solving process could be related to binomial distribution)

Thanks in advance
Math   Statistics-And-Probability   
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