Messenger Service Three Messenger Services Deliver to a Small Town

question 212

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 on time, what is the probability that it was service B ?

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Definitions:

Perfect Complements

Goods that are always used together in fixed proportions, where the consumption of one is directly tied to the consumption of another.

Indifference Curves

Graphs representing combinations of two goods that provide an individual with equal levels of satisfaction or utility, showing consumer preferences.

Marginal Utility

The extra pleasure or benefit derived from consuming an additional unit of a product or service.

Corner Solution

A situation in optimization problems where the solution lies at the boundary or corner of the feasible set, often due to constraints.