Drivers Arrive at a Toll Booth at a Rate of 3

question 8

Multiple Choice

Drivers arrive at a toll booth at a rate of 3 per minute during peak traffic periods.The time between consecutive driver arrivals follows an exponential distribution.What is the probability that it will take more than 1/3 of a minute between consecutive drivers?

• A)0.632
• B)0.111
• C)0.368
• D)0.208

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Definitions:

Pons

A part of the brain located in the brainstem, critical for relaying signals between the cerebrum and the cerebellum, and involved in functions such as sleep and arousal.

Arousal

A physiological and psychological state of being awake or reactive to stimuli, often involving the autonomic nervous system.

Hindbrain

The posterior part of the brain comprising structures such as the medulla, pons, and cerebellum, involved in regulating basic physiological processes and movement.

Cerebellum

A part of the brain at the back of the skull in vertebrates, responsible for coordinating and regulating voluntary muscle movements, balance, and posture.