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Spatial debris heading towards a satellite is modeled using a Poisson process with a rate of...

Spatial debris heading towards a satellite is modeled using a Poisson process with a rate of 3 per year

a) what is the probability that no spatial debris heads towards a satellite in a year?

b) what is the expected time in months for two accidents to occur

c) calculate the probability that there are at least 3 accidents in 6 months

d) the satellite goes into diagnostic mode after the fourth accident. If another satellite is launched today what is the probability that it goes into diagnostic mode for the first time during its second year in operation?

Math   Statistics-And-Probability   
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