Which of the following statements are true about the sum of discrete, independent random variables?I. The sum of two Poisson random variables is always a Poisson random variable.II. The sum of two negative binomial random variables with parameters (r, ß) and (r', ß') is anegative binomial random variable if r = r'.III. The sum of two binomial random variables with parameters (m, q) and (m', q') is a binomialrandom variable if q = q'.ABсNone of I, II, or III is true.EI and II onlyI and III onlyD II and III onlyI, II, and III

Given the two discrete independent random variables and want to comment on the sum of two…

Answered: Which of the following statements are…

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

We are studying a group of 60 people, where the numbers of smokers and non-smokers and those with and without lung cancer are shown in the following table: Non smoker Smokes Total No cancer 40 10 50 Yes cancer 7 3 10 Total 47 13 60 One person is randomly selected from the group. Let's study two random variables S and T, which S= 1, if the person smokes ------- 0, if the person does not smoke T= 1, if the person smokes ----- 0, if the person does not smoke Make a table of the joint and marginal distributions of S and T. (a) Investigate whether the random variables S and T are independent. (b) Compute Corr(S,T).
12 q5
In a game of craps you end up rolling 2 fair dice. Now, whether you win or lose depends on the sum of the numbers occuring on the tops of the dice. Let x be the random variable that represnts the sum of the number on the tops of the dice. 1. What values can x take on? 2. What is the probability distrubution of these x values? (what is the probaility that x=2, 3, etc?) (round to three decimal places, you should have 11 numbers total)
On an average 20 men for 100 and 15 women for 100 have the blood group 0. From a group of 80 men and 70 women one person was chosen randomly. It turned out that he/she has the blood group 0. What is the probability that the chosen person is a women? [Ans.21/53 ]
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
Q1:Show that: If X1, X2, , Xn are independent random variables and X = X1 + X2 ++Xn, then Q2: What is the expectation and the variance of RV X, where X represents the out come throwing a die? Q3: Find the expectation and the variance of X, where X is binomial random variable X - Binomial (n, p), Var(X)? 1 Chapter 3 Let X be a discrete random variable with range Rx = {1, 2, 3, ...}. Q4: Suppose the PMF of X is given by 1 for k = 1, 2, 3, ... 2k Px (k) = a) Find and plot the CDF of X, Fx (a). b) Find P(1 < X < 3). Chapter 3 Functions of Random Variables Q5: Example. Let Rx = {0, T T 37 , such that 4'2 4. Find E[sin(X)]. Q6: A machine produces a defected items with a probability of 0.1. What is the probability that in a sample of three item will have at most one item defected? Q7: For any independent X, and Y random variables, E[XY]=E[X]E[Y]. Show that? Q8: Suppose RV X has the following PMF: p(0)=0.2, p(1)=0.5, p(2)=0.3. Find E[X], E[X^2], E[X]^2. 3 Chapter 3
12
A docs.google.com/forms/d/e (1) Let X be a random variable with p.d.f. fx) =- , then O.w (b) k- (0) k = (a) k=1 (d) k-5 (e) None of these a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer (2) Let X be a random variable with a function x= 0,1, 2,3 4 x! (3-x)! f(x) = , then p(x<1) is 0.w (b) (d) (e) None of these 27 (a) 27 (c) 27 a is the correct answer b is the correct answer c is the correct answer d is the correct answer e is the correct answer
please send correct answer Q6
10. Two random variables X and Y take on the values i and 2 with probability 1/2' (i = 1,2, ...). Show that the probabilities sum to one. Find the expected value of X and Y.
which of the following random variables isn't discrete? (a) the number of children in a family (b) the annual rainfall in a city (c) the attendance at a football game (d) the number of patients treated at an emergency room in a day (e) the number of classes taken in one semester by a student

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