The Average Time Between Incoming Calls at a Switchboard Is $P ( t ) = 1 - e ^ { - t / 3 }$

question 54

Multiple Choice

The average time between incoming calls at a switchboard is 3 minutes. If a call has just come in, the probability that the next call will come within the next t minutes is $P ( t ) = 1 - e ^ { - t / 3 }$ . Find the probability that the next call will come within the next $\frac { 3 } { 6 }$ minute. Round your answer to two decimal places.

• A)15.35%
• B)1.54%
• C)184.65%
• D)17.58%
• E)5.08%

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Definitions:

Capillaries

Tiny blood vessels that connect arteries and veins, facilitating the exchange of water, oxygen, carbon dioxide, and other nutrients and waste substances between blood and tissues.

Peripheral Nervous System

The part of the nervous system that consists of the nerves and ganglia outside of the brain and spinal cord.

Motor End Plate

The specialized part of a muscle cell membrane at a neuromuscular junction where neurotransmitters from motor neurons signal the muscle to contract.

Ligand-gated

A type of ion channel that opens or closes in response to the binding of a chemical messenger (ligand), such as a neurotransmitter.