THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 208

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 8 minutes elapses before the occurrence of the next
event is e^-8λ.

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Definitions:

Indoor Smoke

Pollution caused by burning fuels in stoves, fireplaces, or lamps inside homes, often leading to respiratory and other health issues.

World Bank

An international financial institution that provides loans and grants to the governments of poorer countries for the purpose of pursuing capital projects.

Prematurely

Occurring before the expected, usual, or planned time, often referring to birth or the onset of a condition.

Formaldehyde

A colorless, strong-smelling gas used in building materials and many household products, known for its preservative and antibacterial properties but also its health risks.