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Suppose the Time Intervals in Seconds Between Arrivals of Successive

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Suppose the time intervals in seconds between arrivals of successive cars at an expressway tollbooth during rush hour are exponentially distributed with associated probability density function Suppose the time intervals in seconds between arrivals of successive cars at an expressway tollbooth during rush hour are exponentially distributed with associated probability density function   . ​ Find the probability that the average time interval between arrivals of successive cars is more than 3 sec. Give the answer to four decimal places, if necessary. .

Find the probability that the average time interval between arrivals of successive cars is more than 3 sec. Give the answer to four decimal places, if necessary.


Definitions:

Experimental Drug

A pharmaceutical compound that is in the process of being tested for safety and effectiveness but is not yet approved for general use.

Dosage

The amount and frequency at which a medication or other substance is administered to achieve a therapeutic effect.

Placebo

A substance with no therapeutic effect, used as a control in testing new drugs.

Supplements of Glucosamine

Nutritional products aimed at supporting joint health, often used in the treatment or prevention of osteoarthritis.

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