Messenger Service Three Messenger Services Deliver to a Small Town

question 162

Essay

Messenger Service Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. Define event O as a service delivers a package on time. {Messenger Service Narrative} If a package was delivered 40 minutes late, what is the probability that it was service C ?

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Definitions:

Equatorial Air

A type of warm, moist air found near the Earth's equator, contributing to the climate and weather patterns of equatorial regions.

Moisture

The presence of a liquid, especially water, often in trace amounts.

Rain Shadow

A dry area on the leeward side of a mountainous area, where precipitation is significantly less than on the windward side.

Precipitation

The process by which water leaves the atmosphere and falls to the ground as water, ice, or snow.