Question

Cars cross a certain point on the highway in accordance with a Poisson process with rate...

Cars cross a certain point on the highway in accordance with a Poisson process with rate = 3 per minute. If Al runs across the highway at some random time, what is the probability that he will avoid being hit by a car if the amount of time that it takes him to cross the road is s seconds? (Assume that if a car goes by while Al is on the highway, that it will hit him.)

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
Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate 6 cars per...
Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate 6 cars per minute. A deer runs out of the woods and tries to cross the road. It takes the deer a random time (independent of everything else), uniformly distributed between 2 and 5 seconds, to cross the road. If there is a car passing while the deer is on the road, it will hit the deer with portability 2/3 (independent of everything else). Find the probability...
Consider a point on the trans australian highway, where two wombats live. Arrival of cars at...
Consider a point on the trans australian highway, where two wombats live. Arrival of cars at this point follows a poisson distribution; the average rate of arrivals is 2 cars per 20 seconds. One of these wombats requires 20 seconds to cross the highway. he's a tough old wombat. it takes 2 cars to kill him. A single car doesn't even slow him down. The other wombat is younger and faster. it takes him 10 seconds to cross the highway....
Vehicles arrive at a small bridge according to a Poisson process with arrival rate l =...
Vehicles arrive at a small bridge according to a Poisson process with arrival rate l = 900 veh/hr. a. What are the mean and the variance of the number of arrivals during a 30 minutes interval? b. What is the probability of 0 cars arriving during a 4 second interval? c. A pedestrian arrives at a crossing point just after a car passed by. If the pedestrian needs 4 sec to cross the street, what is the probability that a...
Let X be the number of cars per minute passing a certain point of some road...
Let X be the number of cars per minute passing a certain point of some road between 8 A.M. and 10 A.M. on a Sunday. Assume that X has a Poisson distribution with mean 5. Find the probability of observing 4 or fewer cars during any given minute. Why do I have to use P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) instead of 1-P(X=5) for the solution?
Elon Musk wasn’t smiling, when he said, “Welcome to Model 3 handover.” Through a single silver...
Elon Musk wasn’t smiling, when he said, “Welcome to Model 3 handover.” Through a single silver door, a few moments before, he had entered the room, flanked by nearly two dozen employees including an engineer and designer who joined him on stage. Black floor, rich red curtains, and slate grey backdrop and a white Tesla logo. There were no introductions necessary. At first, Musk’s voice had a breathy quality. He seemed nervous. Nerves were understandable on the precipice of what...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe Musk? 2-Why do you think Musk is successful in overcoming obstacles and handling conflict? How do you overcome obstacles in influencing individuals in your life? 3-Besides the personality traits given in chapter 2, what other traits attribute to a great leader? Recognizing Your Traits The definition of intelligence is the ability to acquire and apply knowledge and skills. Elon Musk knew little about rockets...
Case 13 ✍ It Was Really So Simple Background Information Brenda Galway leaned back in her...
Case 13 ✍ It Was Really So Simple Background Information Brenda Galway leaned back in her chair, sighed heavily, and slowly rubbed her eyes in big circular motions. “I don’t need all this aggravation,” she thought to herself. She had just finished reviewing the report she had requested from her new employee, Bill Stanley. The entire report was incorrect and would have to be redone. Brenda supervised Unit B of the Audit Department. The Unit B team had earned the...
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....
The Estate Tax One of the richest men in the world, Warren Buffett (as of 2010),...
The Estate Tax One of the richest men in the world, Warren Buffett (as of 2010), suggests that repealing the estate tax will benefit only the richest Americans. In 2010, this is the top 2% of the United States population. To put this in more common terms, 98 of every 100 people who die face no estate tax whatsoever. Nevertheless, many younger Americans assume that the group of richest Americans will eventually include them. Listen to the short Warren Buffet...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT