Phone Orders the L.L.Bean Catalog Department That Receives the Majority of Majority

question 155

Essay

Phone Orders
The L.L.Bean catalog department that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product.The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 3 minutes.
-{Phone Orders Narrative} Find the time at which 50% of the customers will continue to hold?

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Definitions:

Improbable Events

Improbable events are occurrences with a low likelihood of happening, often surprising or unforeseen due to their rarity.

Confirmation Bias

The proclivity to pursue, decode, cherish, and memorize information that reinforces one's preconceived beliefs or assumptions.

Misdiagnosis

The act of incorrectly identifying a disease or condition, leading to potential delay in appropriate treatment or unnecessary anxiety.

Belief Perseverance

The tendency to maintain one's belief even after it has been discredited or proven wrong.