You have a lunch appointment with your friend at 12:30 pm. Suppose that your friend will arrive at the meeting place between 12:20 pm and 12:40 pm depending on the traffic condition. You arrived at the meeting place at 12:25 pm and found that your friend is not there yet. What is the probability that you wait for your friend more than 10 minutes?
You have a lunch appointment with your friend at 12:30 pm. Suppose that your friend will...
Exercise 1.30. You have an appointment at noon with a disorganized friend who will come at the appointment late. At which time should you go to the appointment in order to minimize the expected amount of time the first one at the appointment will have to wait in each of the following two contexts? 1. The time at which your friend will be at the appointment is uniformly distributed between noon and 1:00pm. 2. Your friend will be late by...
1. Suppose you're back at home and you need to schedule an appointment with your internet provider to have someone come over and fix it. You have to be at home to let the person in. If you miss the serviceperson, you have (a) Although you're given an exact time (3:00pm), the company tells you that the serviceperson could show up Let X - the arrival time (in minutes) of tife serviceperson relative to the scheduled time. Then based on...
4. You arrive at a bus stop at 10 o'clock, knowing that the bus will arrive at some time uniformly distributed between 10:00 and 10:30. (a) What is the probability that you will have to wait longer than 10 minutes? (b) If at 10:10 the bus has not yet arrived, what is the probability that you will have to wait at least an additional 2 minutes?
Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes late. Let X represent the length of time in minutes that Kate is late and assume it has a uniform distribution.(Note: Labelled diagrams and proper notation are required for all parts.) a) Draw the probability density of X. b) Find the probability that Kate will be no more than 10 minutes late. c) Find the probability that Kate will be between 15 and 20...
You are eating lunch at your favorite cafe and your friend calls and says he wants to meet you. He is calling from a city 175 miles away and wants to meet you somewhere between the two locations. He says he will start driving right away, but you need 35.0 minutes to finish your lunch before you can begin driving. If your friend plans to drive at 65.0 mph and you plan to drive at 60.0 mph, how long will...
You are eating lunch at your favorite cafe and your friend calls and says he wants to meet you. He is calling from a city 145miles away and wants to meet you somewhere between the two locations. he says he will start driving right away, but you need 30.0 minutes to finish your lunch before you can begin driving. If your friends plans to drive at 70 mph and you plan on driving at 40mph, how long will your friend...
You arrive at your gate at the Edmonton International Airport at 10PM. The boarding time is uniformly distributed between 10PM and 10:30PM. a) What is the probability that you'll wait longer than 10 minutes? b) If at 10:15PM boarding has not yet commenced, what is the probability that you will have to wait at least an additional 10 minutes?
The Transportation Security Administration collects data on wait time at each of its airport security checkpoints. For flights departing from Terminal 3 at JFK Airport between 3:00 and 4:00 pm on Wednesday, the mean wait time is 12 minutes and the maximum wait time is 16 minutes. (Transportation Security Administration, summary statistics based on historical data collected between February 18, 2008, and March 17, 2008.) Assume that x, the wait time at the Terminal 3 checkpoint at JFK Airport for...
Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00...
Question 6 (1 point) Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at...