THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 177

Essay

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 4 minutes elapses before the occurrence of the next
event is e^-4λ.

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Definitions:

Radiometric Dating

A method used to determine the age of materials such as rocks or carbon, based on the decay rate of radioactive isotopes.

Age of Fossil

The determination of the time period from which a fossil originates, often through radiometric dating.

Radiometric Dating

A method for determining the age of an object based on the decay rate of radioactive isotopes contained within it.

Measured

Quantified or assessed using specific units or tools, indicating a calculated or carefully determined amount.