Mathematics, 25.07.2021 19:00 neazisa

On a stretch of highway, the probability of an accident due to human error in any given minute is 10 5, and the probability of an accident due to mechanical breakdown in any given minute is 10 7. Assuming that these two causes are independent:
(a) Find the probability of the occurrence of an accident on this stretch of highway
during any minute.
(b) In this case, can the above answer be approximated by P(accident due to
human error) P(accident due to mechanical failure)? Explain.
(c) If the events in succeeding minutes are mutually independent, what is the
probability that there will be no accident at this location in a year?

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