A random-number generator simulates realizations from a Unif (0,1) distribution.Find a transformation h to transform the realizations to follow a Binomial(6,0.3)distribution.Describe a strategy to transform the realizations to follow a N(5, 9) distribution, usingthe N(0, 1) CDF Table.

A uniform random variable is a continuous distribution which has a constant probability function…

Answered: A random-number generator simulates…

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

An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 5500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
The total compilation time of a computer program has Gamma distribution with average u=10 minutes and variance o = 50 minutes. Find the probability that such a program can be compiled in less than 5 %3D minutes.
Suppose that telephone calls arriving at a particular switchboard follow a Poisson process with an average of 4 calls coming per minute. What is the probability that up to a minute will elapse by the time 2 calls have come to the switchboard using the Gamma distribution? What is the probability that less than 30 seconds will elapse between successive calls coming to the switchboard? What is the probability of having at least 3 calls arrive to the switchboard in one minute? What is the probability of having at most 9 calls arrive to the switchboard in three minutes?
The entire human genome can be considered to a long book broken into pages. Suppose that the number ofmutations on a single page of this book has a Poisson distribution with parameter λ = 1/2 . For a given page, calculate that there are atleast 2 mutations on the page?
5 Calculate XkYk for the n = 5 data points (×₁,Y₁ ) = (2,4), (×2,Y₂) = (3,5), (×3,Y3) = (4,8), (×4,Y4) = (5,10), and k=1 (X5,5) = (6,14). 5 Σ xxYk = [ k=1 (Simplify your answer.)
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?
Suppose that when a new machine is functioning well, 92% of the items produced are non-defective. Assume that a random sample of 5 parts produced on the machine is selected and we are interested in the number of defective parts found. What are the conditions for this experiment to be considered a binomial experiment?
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?
5) People are waiting in a queue for buying ticket to the cinema. Time required for one person to buy a ticked follows uniform distribution on [2min, 6min]. John arrives to the Cinema 30 minutes before the film starts and there were 10 people waiting in the queue before him. What is the chance that he will be able get his ticket before film starts ?
The following information is given about a 24-hour car wash facility: • There are 2 car washes and a waiting area for 2 cars in the car wash facility. Thus, while maximum 2 vehicles can be washed in the facility at the same time, maximum 4 vehicles can be found in the facility. • The number of vehicles arriving at the facility conforms to the poisson distribution, with an average of 6 vehicles per hour. The vehicle washing time follows the exponential distribution and its average is 12 minutes. • 30 TL is charged as a washing service fee for each vehicle, and the cost of washing is 10 TL per vehicle. • There is a parking lot for 1 vehicle belonging to the municipality right next to the car wash facility. The municipality has said that if it wants, it can rent the parking lot to the car wash facility for 100 TL per day. If this parking lot is rented, the capacity of the waiting area will be 3 vehicles, and when the washed vehicles are included, a maximum of 5 vehicles will be…
A service company receives on average 4 service requests per day. The requests are received randomly according to Poisson process. The company has 2 service engineers and sends one engineer to attend each request. 1 An engineer needs an exponentially distributed service time with the mean of day(s). 2 The company's policy is to have maximum of 2 requests waiting in the queue If this number is reached, all incoming requests are rejected (sent to a competitor). Answer the following questions based on the information provide above: (a) Using the Kendall's notation, indicate what type of queueing system it is: (b) Compute the system state probabilities (provide at least 3 decimals): Po = P1= P2 = P3 = Pa = (c) Compute the expected total number of customer requests (waiting and served) in the system. ELL] = (d) Compute the expected number of accepted requests. Aaccepted = (e) Compute the expected total processing time (waiting + being served) for the accepted requests. E[Time] =
Town Taxi uses three dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to Town Taxi use a common number. When all dispatchers are busy, the caller hears a waiting song until the first dispatchers becomes available. The telephone system will assign available dispatcher to the waiting callers according to FCFS. Assume that the arrival of calls follows a Poisson distribution, with an average of 35 calls per hour. Also assume that the time that each dispatcher spends with a customer follows Exponential distribution and each dispatcher takes an average of 3 minutes with each caller. a What percentage of time all dispatchers are idle? b What percentage of time only one dispatcher is busy? c. What is the average number of callers in the system? d What is the average time in minutes that a customer spends in the system? e What is the total cost of the system for 8 hours if each dispatcher charges $25 /hour and the waiting cost per hour for…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

A random-number generator simulates realizations from a Unif(0, 1) distribution. Find a transformation h to transform the realizations to follow a Binomial (6,0.3) Describe a strategy to transform the realizations to follow a N(5,9) distribution, using the N(0, 1) CDF Table. distribution.