(Poisson Distribution). A car company sells on the average 6.2 BMW X6 per week. Assuming Poisson distributions are appropriate:() find the probability that in a given week the company will sell:(a) some BMW X6:(b) 2 or more BMW X6 but less than 5 BMW X6:(ii) (a) assuming that there are 6 working days per week, find the probability that in a given day the company will sell exactiy oneBMW X6:Answer:(b) when answering the question in (a), you have worked with a random variable having a Poisson distribution with parameter (eventrate):Answer:

Answered: Image /qna-images/answer/6d569929-4252-40e6-ac82-d559889ad48a.jpg

Answered: () find the probability that in a given…

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

17. According to the results of a recent survey, 10% of the teenagers in a city are habitual smokers. Now 20 teenagers are selected randomly and independently from the city. (b) Find the probability that exactly 18 teenagers in the sample are not habitual smokers. Teacher's Solution is: 18 non-habitual smokers = 20 – 18 = 2 habitual smokers P(X = 2) = 20C2(0.1)2(0.9)18 = 0.2852 Is the answer wrong? The probabiity that the soluion shows is exactly 2 teenagers in the sample are habitual smoker? But not the probabiity that exactly 18 teenagers in the sample are not habitual smoker?
b. The brake switch of the 1998 model of Mercedes Benz ML320 needs a replacement. There are similar brake switches with similar shapes but for different brands of vehicles which are all without labels. Past experience has revealed that three (3) different trials or attempts have to be made in order to get the right component fixed. If the random variable X of interest is the number of successful attempts in each combination of the three (3) different outcomes, you are required to 2 | Page 2/3 i. Determine the type of random variable X denotes ii. Obtain the probability distribution for the random variable X iii. Determine the distribution function for X
Part a,b and c have been answered, this is for part d now.
If P (A) — 0.7, Р(B) — 0.3 and P (АВ) %3 0.2, || (a) Represent these data on a Venn diagram. A В S (i) (ii) (iii) (b) Determine the following probabilities (i) (ii) (iii) (iv) Р (AUB) P (A’ OB) P (A’ U B) P (B| A’)
A study of immunizations among school-age children in California found that some areas have rates of unvaccinated school-age children as high as 12.5%. Let X be the number of children not vaccinated in a randomly selected classroom of 40 children in one such area? (a) what is the appropriate distribution of random variable x? (b) what is the probability that there are at most three unvaccinated children in classroom of 40? (c) what is the probability that there is at least one unvaccinated child in a classroom of 40? (d) How many unvaccinated children do we expect, on average, in randomly selected classrooms of 40 children?
An experiment can result in one of five equally likely simple events, E₁, E₂, A: E₂, E4 2' P(A) = = 0.4 B: E₁, E3, E4, E5 P(B) = 0.8 C: E₂, E3 Refer to the following probabilities. P(A n B) = 0.2 P(AIB) = 0.25 P(BIA) P(BU C) = 1 P(BIC) 0.5 P(CIB) 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(AUB) (b) P(An B) = 0.5 P(A U B) = ---Select--- + ---Select--- ✓ P(A n B) = ---Select--- (c) P(B n C) Yes P(B n C) = ---Select--- No P(C) = 0.4 . P(B) = = P(C) = = ---Select--- V = Do the results agree with those obtained by listing the simple events in each? P(A U B) = P({E₁, E₂, E3, E4, E5}) = 1 P(A n B) = P({E₁}) = 0.2 P(B n C) = P({E3}) = 0.2 .., E5. Events A, B, and C are defined as follows.
Only 2nd
The number of telephone calls that arrive at a call center is often modeled as a Poisson random variable. Assume that on average there are 10 calls per hour. What is the probability that there are less than 15 calls in two hours? (a)0.1847(b)0.2541(c)0.1049(d)0.3024
If the lifetime of a computer is an exponential random variable whose mean is 5 year. Given that the computer has not broken down after 3 years, find the expected total lifetime of this computer. (a) 4 (b) 6 (c) 8 (d) 10
Is the number of people in their household for members of this class a discrete or continuous variable?

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