Suppose the time intervals between arrivals of successive cars at an expressway tollbooth during rush hour are exponentially distributed and that the average time interval between arrivals is 8 seconds. Find the probability that the average time interval between arrivals of successive cars is more than 17 seconds. Round your answer to two decimal places.
A) 0.12
B) 0.64
C) 0.62
D) 0.23

Question

Quizplus · Accepted Answer

The probability that the average time interval between arrivals of successive cars is more than 17 seconds is given by the cumulative distribution function of the exponential distribution:```P(X > 17) = 1 - P(X <= 17) = 1 - (1 - e^(-17/8)) = e^(-17/8) = 0.12```

Suppose the Time Intervals Between Arrivals of Successive Cars at an Expressway