GetFood (a food delivery company) wants to investigate the customers ordering behavior on its' mobile app on a weekday lunchtime. The server administrator collects a sample of 400 inter- arrival times (in seconds) of food ordering requests from the mobile app to its server during lunchtime. The mean inter-arrival times is 0.1563 seconds. a) Calculate the mean food order request arrival rate (A) to its server. Use the exponential distribution model as appropriate to answer questions b) to c) b) Calculate the probability that the inter-arrival time from one food order request to the next is less than 0.1s. c) Calculate the probability that the inter-arrival time from one food order request between 0.1s and 0.3s. the next is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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GetFood (a food delivery company) wants to investigate the customers ordering behavior on its'
mobile app on a weekday lunchtime. The server administrator collects a sample of 400 inter-
arrival times (in seconds) of food ordering requests from the mobile app to its server during
lunchtime. The mean inter-arrival times is 0.1563 seconds.
a) Calculate the mean food order request arrival rate (A) to its server.
Use the exponential distribution model as appropriate to answer questions b) to c)
b) Calculate the probability that the inter-arrival time from one food order request to the next is
less than 0.1s.
c) Calculate the probability that the inter-arrival time from one food order request to the next is
between 0.1s and 0.3s.
Transcribed Image Text:GetFood (a food delivery company) wants to investigate the customers ordering behavior on its' mobile app on a weekday lunchtime. The server administrator collects a sample of 400 inter- arrival times (in seconds) of food ordering requests from the mobile app to its server during lunchtime. The mean inter-arrival times is 0.1563 seconds. a) Calculate the mean food order request arrival rate (A) to its server. Use the exponential distribution model as appropriate to answer questions b) to c) b) Calculate the probability that the inter-arrival time from one food order request to the next is less than 0.1s. c) Calculate the probability that the inter-arrival time from one food order request to the next is between 0.1s and 0.3s.
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