Suppose that Xis a Poisson random variable withA = 6.Round your answers to 3 decimal places (e.g. 98.765).(a) Compute the exact probability that X is less than 4.(b) Use normal approximation to approximate the probability that Xis less than 4.Without continuity correction:With continuity correction: i(c) Use normal approximation to approximate the probability that 8

X~Pois(λ=6) This Probability value calculated from standard normal distribution for approximate…

Answered: Suppose thatX is a Poisson random…

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

It is estimated that 12% of the vehicles entering Canada from the United States carry undeclared goods. Use the normal approximation to calculate the probability that a search of 300 randomly selected vehicles will find more than 30 with undeclared goods.Round your answer to 3 decimal places.
1) A producer of soft drinks was fairly certain that her brand had a 15% share of the soft drink market. In a market survey involving 3000 consumer of soft drinks, 250 expressed a preference for her brand. If the 15% figure is correct, find the probability of observing 400 or more consumers who prefer her brand of soft drink. [Hint: Use normal approximation and z-value must be rounded-off to 2 decimal places only
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate per hour (alpha = 8), so that the number of arrivals during a time period of t hours is a Poisson rv with parameter (u = 8t) . a. What is the probability that exactly 6 small aircraft arrive during a 1-hour period? At least 6? At least 10? b. What are the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period? c. What is the probability that at least 20 small aircraft arrive during a 2.5-hour period? That at most 10 arrive during this period?
Suppose small aircraft arrive at a certain airport accordingto a Poisson process with rate a 5 8 per hour, so thatthe number of arrivals during a time period of t hours isa Poisson rv with parameter m 5 8t.a. What is the probability that exactly 6 small aircraftarrive during a 1-hour period? At least 6? At least 10?b. What are the expected value and standard deviationof the number of small aircraft that arrive during a90-min period?c. What is the probability that at least 20 small aircraftarrive during a 2.5-hour period? That at most10 arrive during this period?
Let X1, X2, …, Xn be a random sample from the Normal distribution N() (a) Using method of moments to estimate the parameters and . (b) Are those estimators unbiased?
the highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that Shannon owns a small organic orchard and that the proportion of oranges she grows which can be classified as U.S. Fancy is 0.40. One morning, Shannon randomly picks 44 oranges. Estimate the probability that the number of oranges that will be classified as U.S. Fancy, ?, is fewer than 14. Use a normal approximation to the binomial distribution with continuity correction to obtain the solution. Give your answer precise to at least four decimal places.

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