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Answer:
The probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.
Step-by-step explanation:
Let <em>X</em> = times required by drivers to fill their car's tank and pay.
The average time required by drivers is, <em>β</em> = 8 minutes.
The random variable <em>X</em> is Exponentially distributed with parameter, .
The probability distribution function of exponential distribution is:
Compute the probability that a car driver can complete the transaction in less than 5 minutes as follows:
Thus, the probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.