Suppose That Customers Arrive at a Drive-Through Window at an Average

question 24

Essay

Suppose that customers arrive at a drive-through window at an average rate of three customers per minute and that their arrival follows the Poisson model.
a. Write the probability density function of the distribution of the time that will elapse before the next customer arrives.
b. Use the appropriate exponential distribution to find the probability that the next customer will arrive within 1.5 minutes.
c. Use the appropriate exponential distribution to find the probability that the next customer will not arrive within the next 2 minutes.
d. Use the appropriate Poisson distribution to answer part (c).