Question

John and Jane are working on a project, and all of their project meetings are scheduled...

John and Jane are working on a project, and all of their project meetings are scheduled to start at 9:00. John always arrives promptly at 9:00. Jane is highly disorganized and arrives at a time that is uniformly distributed between 8:49 and 10:22. The time (measured in minutes, a real number that can take fractional values) between 8:49 and the time Jane arrives is thus a continuous, uniformly distributed random variable.

If Jane arrives before 9:00, their project meeting will last exactly 175 minutes. If Jane arrives after 9:00, their project meeting will last for a time (measured in minutes, a real number that can take fractional values, i.e., a continuous random variable) that is uniformly distributed between 0 and 175 minutes. The meeting starts at the time they meet.

What is the expected duration of any particular project meeting?

Round your answer to three decimal digits after the decimal point.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
John and Jane are working on a project, and all of their project meetings are scheduled...
John and Jane are working on a project, and all of their project meetings are scheduled to start at 9:00. John always arrives promptly at 9:00. Jane is highly disorganized and arrives at a time that is uniformly distributed between 8:45 and 10:28. The time (measured in minutes, a real number that can take fractional values) between 8:45 and the time Jane arrives is thus a continuous, uniformly distributed random variable. If Jane arrives before 9:00, their project meeting will...
John and Jane are working on a project, and all of their project meetings are scheduled...
John and Jane are working on a project, and all of their project meetings are scheduled to start at 9:00. John always arrives promptly at 9:00. Jane is highly disorganized and arrives at a time that is uniformly distributed between 8:25 and 10:35. The time (measured in minutes, a real number that can take fractional values) between 8:25 and the time Jane arrives is thus a continuous, uniformly distributed random variable. What is the expected duration of time (measured in...
John and Jane are working on a project, and all of their project meetings are scheduled...
John and Jane are working on a project, and all of their project meetings are scheduled to start at 9:05. John always arrives promptly at 9:05. Jane is highly disorganized and arrives at a time that is uniformly distributed between 8:33 and 10:31. The time (measured in minutes, a real number that can take fractional values) between 8:33 and the time Jane arrives is thus a continuous, uniformly distributed random variable. What is the expected duration of time (measured in...
URGENT!! PLEASE ANSWER QUICKLY John and Jane are working on a project, and all of their...
URGENT!! PLEASE ANSWER QUICKLY John and Jane are working on a project, and all of their project meetings are scheduled to start at 9:00. John always arrives promptly at 9:00. Jane is highly disorganized and arrives at a time that is uniformly distributed between 8:22 and 10:31. The time (measured in minutes, a real number that can take fractional values) between 8:22 and the time Jane arrives is thus a continuous, uniformly distributed random variable. What is the expected duration...
A worker leaves for work between 9:00am and 9:30am and takes between 45 and 55 minutes...
A worker leaves for work between 9:00am and 9:30am and takes between 45 and 55 minutes to arrive. Let the random variable Y denote this worker’s time of departure, and the random variable X the travel time. Assuming that Y and X are independent and uniformly distributed, find the probability that the worker arrives at work before 10:00am.
Arrival times. Imagine you live in ancient times, before telephones. In each of the following, you...
Arrival times. Imagine you live in ancient times, before telephones. In each of the following, you plan to meet a friend, and your arrival times are independent random variables. For each situation, compute the probability you end up meeting each other. (a) Each of you arrives at your meeting spot at an independent uniformly distributed time between 8 and 9 pm, and wait for 20 minutes. (b) Each of you arrives at an independent exponentially distributed time (with rate1/hour) after...
Case Study 1: A Day in the Life Rachel, the project manager of a large information...
Case Study 1: A Day in the Life Rachel, the project manager of a large information systems project, arrives at her office early to get caught up with work before her co- workers and project team arrive. However, as she enters the office she meets Neil, one of her fellow project managers, who also wants to get an early start on the day. Neil has just completed a project overseas. They spend 10 minutes socializing and catching up on personal...
Case Study 1:  A Day in the Life Rachel, the project manager of a large information systems...
Case Study 1:  A Day in the Life Rachel, the project manager of a large information systems project, arrives at her office early to get caught up with work before her co- workers and project team arrive. However, as she enters the office she meets Neil, one of her fellow project managers, who also wants to get an early start on the day. Neil has just completed a project overseas. They spend 10 minutes socializing and catching up on personal news....
****FOR THIS HOMEWORK ASSIGNMENT, YOU MUST SHOW ALL WORK (CALCUATIONS) AND DRAW TIME LINES. 1) Jane...
****FOR THIS HOMEWORK ASSIGNMENT, YOU MUST SHOW ALL WORK (CALCUATIONS) AND DRAW TIME LINES. 1) Jane is 25 years old and was able to save $25,000.    After doing some research, she identifies a stock called HPG Industries that has a dividend yield of 7% that has been consistent for the past 10 years. Based on this information, she decides to invest in this stock. Considering that HPG Industries pays the dividend consistently, how many years will it take for Jane...
Project Management Fundamentals Questions Only A project team is discussing the benefits and drawbacks of working...
Project Management Fundamentals Questions Only A project team is discussing the benefits and drawbacks of working on projects within their organization now that it has become project-oriented. They can agree on many advantages for the team and for the organization, but also agree there are some drawbacks, relative to the strong matrix structure the organization used to have. In a project-oriented organization the project team: ANSWER Will not always have a "home" Reports to the functional manager Has no loyalty...