Cars arrive at a vehicle equipment inspection station according to a Poisson Process with rate a = 8 per hourSuppose that the probability is p 0.3 that an arriving car will have no equipment violations(a) What is the probability that exactly 8 cars arrive during the hour and all 8 have no violations?(b) For any fixed number x > 8, what is the probability that x arrive during the hour of which 8 have noviolation?(c) What is the probability that 8 "no-violation" cars arrive during the next hour?

Poisson Arrival process:The probability Px of x packet arrivals in a time interval α is given by:

Answered: Cars arrive at a vehicle equipment…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Coin A has a probability of head equal to 1/4 and probability of tail equal to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let the random variable X denote the number of heads resulting from coin A and Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?
I need help with this question pls
2) The number of x people entering the intensive care unit (ICU) at a particular hospital on any given day has a Poisson probability distribution with mean rate of five persons per day. What is the probability that the number of people entering the ICU for 5 days is between 20 and 35 inclusive?
Suppose bird attacks follow a Poisson process and attacks occur at a rate of 4 attacks per week What is the probability of a bird free week (0 bird attacks)? In a period of 16 weeks, what is the probability of exactly 2 bird free weeks? What is the probability that it takes 16 weeks for there to be exactly 3 bird free weeks?
A player of a video game is confronted with a series of 4 opponents and a(n) 70% probability of defeating each opponent. Assume that results from opponents are independent (and that when the player is defeated by an opponent the game ends). the Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 4 opponents in a game? 0.2401 (b) What is the probability that a player defeats at least 2 opponents in a game? (c) If the game is played 3 times, what is the probability that the player defeats all 4 opponents at least once? i
There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by ?(? = ?) = 4 − ? ? = 0,1,2 9 (i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
Please help!!
OTHER DISCRETE PROBABILITY DISTRIBUTION SHOW COMPLETE SOLUTION AND GRAPH A study published by University of Sunni, approximately 60% of the Valium users in the United States first took Valium for psychological problems. Find the probability that among the next 8 users from this state who are interviewed, (a) exactly 3 began taking Valium for psychological problems; (b) at least 5 began taking Valium for problems that were not psychological.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS