violamashego2852 violamashego2852

19-07-2020
Mathematics

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The manger of a gas station has observed that the time required by driver's to fill their car thank and pay are quite variables in fact.The time are exponentially distributed with a mean 7.5 minute.What is the probability that a car can complete the transaction in less than 5 minutes.

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nicof2010 nicof2010

20-07-2020

Answer:

The probability that a car can complete the transaction in less than 5 minutes is 0.4857

Step-by-step explanation:

In order to calculate the probability that a car can complete the transaction in less than 5 minutes we would have to calculate the following formula:

probability that a car can complete the transaction in less than 5 minutes=1-e∧-λ*x

probability that a car can complete the transaction in less than 5 minutes=1-e∧-0.133*5

probability that a car can complete the transaction in less than 5 minutes=0.4857

The probability that a car can complete the transaction in less than 5 minutes is 0.4857

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