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:

Median

The middle value in a dataset when the values are arranged in ascending or descending order, effectively splitting the dataset into two equal halves.

Unimodal

Describing a distribution with a single prominent peak or mode, indicating the most frequently occurring value.

StdDev

Another term for standard deviation, indicating how much individual data points deviate from the mean.

Median

The central number that splits a dataset into two equal parts, distinguishing the upper half from the lower half.