Question

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.

Answer 1

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

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