13. Cars arrive at a petrol station at an average rate of 48 per hour.Assuming that the number of cars arriving at the petrol station follows aPoisson Distribution, find the probability that:a. No cars arrive in a particular 5-minute periodb. More than 3 cars arrive in a particular 5-minute periodc. More than 10 cars arrive in a particular 10-minute period.

Answered: Image /qna-images/answer/20d48cc2-7133-436b-ac79-18ce5797e27a.jpg

Answered: 13. Cars arrive at a petrol station at…

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

Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?
5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson distribution with rate = 2.6. For the questions that follow, make sure to define a random variable, state its distribution (including parameters), and translate the question into a probability statement. %3D wg probal b What is the probability that the spider catches at least one insect in 12 hours? PUS 18)
Only c and d part please
6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
1. Given the value X which is a random variable that states the number of visitors in a restaurant, with P(X= x) = C a. Determine the value of C such that the function is a discrete probability distribution b. Calculate the probability that there will be at least 2 costumers at the restaurant at a time ; x = 0, 1, 2, ...
3. Football goal scoring events arrive as a Poisson process in a a 90-minute match at a mean rate of 2.7 goals per match. Find the probability that an interval time is less than 30 minutes: (A) 0.0672 (B) 0.4066 (C) 0.5934 (D) 0.9328
.A contractor builds three-unit apartment with construction time follows a normal distribution. Suppose that µ=100 days and o=20 days and the contract called for completion in 125 days and late completion will incur a severe penalty fee. What is the probability of not incurring a penalty fee? * 0.8943 0.8525 0.9125 O 0.9343
A self-service store employs one cashier at its counter. 9 customers arrive on an average every 4 minutes. The cashier can serve 3 customers per minute. Assume Poisson distribution for arrivals and exponential distribution for service time. What is the average number of customers in the queue? Select one:a. 2.25b. 3c. 1.286d. 5.25e. 6.75
Q14 Ans : a)0.0025; b)0.8488; c)0.9797; d)0.1991
11. For a distribution with 16 degrees of freedom, find the area, or probability, in each region a. To the right of 2.120 To the left of 1.337 b. To the left of -1.746 To the right of 2.583 Between -2.120 and 2.120 Between 1.746 and 1.746 c. d. e. f.
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.

SEE MORE QUESTIONS

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