Assuming that the number of emails received by an officer has a Poisson distribution with mean of 4. (a) Determine to 3, s.f, the probability that there are more than 3 emails received on a given day. (b) If 10 days were randomly chosen, find the probability that there are 5 days that officer receives more than 3 e-mails.

Assuming that the number of emails received by an officer has a Poisson distribution with mean of 4. (a) Determine to 3, s.f, the probability that there are more than 3 emails received on a given day. (b) If 10 days were randomly chosen, find the probability that there are 5 days that officer receives more than 3 e-mails.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.62. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
Q3 a) A component has an exponential time to failure with a mean of 100 hours. (i) The component has already been in operation for its mean life. What is the probability that it will fall by 150 hours? (ii) The component will operate for another 50 hours given that it is in operation 150 hours. (iii) If 20 components are tested, what is the probability that at least one fails in less than 200 hours? Assume that the components fail independently. b) Students of National University were classified according to their favorite color: Blue 12 5 Favorite color Red 13 13 Black 25 20 Male Female If one student is selected at random, then find the probability that the selected student: (i) Doesn't like black color. (ii) Is Female and likes blue color. (iii) Is Male or like black color. (iv) Likes red color given that it is female.
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.75. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.680.68.Part a)What is the probability that the time between consecutive customers is less than 15 seconds?Part b)Find the probability that the time between consecutive customers is between ten and fifteen seconds.Part c)Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
Assume that arrivals of cars at a gas station can be modeled by a Poisson process with rate 2 cars per hour. What is the probability that one has to wait at least 3 hours for the arrival of 3 cars?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.47. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 48 minutes and standard deviation 23 minutes. A researcher observed 14 students who entered the library to study. Round all answers to 4 decimal places where possible. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 50 minutes. For the 14 students, find the probability that their average time studying is between 42 and 50 minutes. Find the probability that the randomly selected 14 students will have a total study time less than 714 minutes.
Steve Burns, host of the first season of Blue' clues recently bids goodbye to the show. Assuming that in his first season of hosting he can actually find an average of 15 clues that when blue leaves paw prints on the objects around her house per week. If the clues he finds follows Poisson distribution, what is the probability that there will be 5, 10 or 15 clues during the next week?