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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 208

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose that the time between successive occurrences of an event follows an exponential distribution with mean 1/λ minutes.Assume that an event occurs.
-Show that the probability that more than 8 minutes elapses before the occurrence of the next
event is e-8λ.


Definitions:

Franciscans

A religious order within the Catholic Church founded by Saint Francis of Assisi, known for its emphasis on simplicity, poverty, and helping the needy.

Dominicans

A Roman Catholic religious order founded by Saint Dominic in the early 13th century, known for their preaching and teaching.

Pulpit

A raised platform in a church or mosque on which a priest or imam stands while leading the religious service.

Baptistery

A part of a church or a separate building used for the Christian rite of baptism.

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