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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 6.4, Problem 35E

Textbook Problem

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The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds.

- a. Sketch this exponential probability distribution.
- b. what is the probability that the arrival time between vehicles is 12 seconds or less?
- c. What is the probability that the arrival time between vehicles is 6 seconds or less?
- d. What is the probability of 30 or more seconds between vehicle arrivals?

**a.**

To determine

Draw the exponential probability distribution.

**Calculation:**

The time between arrivals of the vehicles in a particular intersection follows an exponential distribution with mean 12 seconds.

The exponential probability density function is,

The exponential probability density function for time between arrivals is,

**b.**

To determine

Find the probability that arrival time is less than or equal to 12 seconds.

**c.**

To determine

Find the probability that arrival time is less than or equal to 6 seconds.

**d.**

To determine

Find the probability that arrival time is greater than or equal to 30 seconds.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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