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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