Question

Do you dislike waiting in line? A supermarket chain used computer simulation and information technology to reduce the average waiting time for customers at 2,300 stores. Using a new system, which allows the supermarket to better predict when shoppers wil be checking out, the company was able to decrease average customer waiting time to just 19 seconds. (a) Assume that supermarket waiting times are exponentially distributed. Show the probability density function of waiting time at the supermarket. -(히X. elsewhere 19 19 What is the probability that a customer will have to wait between 15 and 30 seconds? (Round your answer to four decimal places.) 0.2462 (b) (c) What is the probability that a customer will have to wait more than 2 minutes? (Round your answer to four decimal places.) 0.0099 X

Answer 1

Given hat, laiting m pcuameter I econds distrihtecd The po babi tīry density "func non f юаї ting time a 19 Hence xe pobability denity knchion 1q between 15 and ỏo seconds p (between 5 and80) - P C15 30 F0.2061q I - O 454 038 一0.546

C) "The prbabimy thala Culfome' P ME tn an minutes Cbo seond) P x20 120 0 0018075 уーイナ0.0018075 00180s C4 decimals