The average (or expected) time it takes to complete a purchase at Trippler.com is 45 seconds.All the conditions for a Poisson distribution are met.Use the exponential distribution to determine the probability that it will take between 20 seconds and one minute to complete your next Trippler.com purchase.
A).3803
B).4012
C).4623
D).3919
E).4451

Question

Quizplus · Accepted Answer

The probability that it will take between 20 seconds and one minute to complete your next Trippler.com purchase is the area under the exponential distribution curve between 20 and 60 seconds. The exponential distribution function is given by f(x) = (1/lambda) * e^(-x/lambda), where lambda is the average time to complete a purchase. In this case, lambda = 45 seconds. The probability that it will take between 20 and 60 seconds to complete your next Trippler.com purchase is:P(20 < X < 60) = ∫[20,60] (1/45) * e^(-x/45) dx = 0.3803Therefore, the correct answer is A.

The Average (Or Expected) Time It Takes to Complete a Purchase