Let X and Y be independent binomial random variables with parameters (m, p) and (n, p), respectively.
Question:
Let X and Y be independent binomial random variables with parameters (m, p) and (n, p), respectively. Use the mgfs to show that X+Y is a binomial random variable with parameters m + n and p.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
By Exercise 926 m X Y t m X tm ...View the full answer
Answered By
Nicole omwa
Being a highly skilled tutor with at least 5 years of tutoring experience in different areas, I learned how to help diverse learners in writing drafts of research papers, actual research papers and locate credible sources. My assurance is built upon my varied knowledge of a variety of subjects. Furthermore, my involvement and interaction with numerous learners of all levels has allowed me to understand my clients' specific demands. Ultimately, this has aided me in being a better coach to learners to better their grades. Essentially, my responsibilities as a tutor would include:
Teaching abilities that assist pupils in enhancing their academic performance
Personal interaction with learners to make them understand abstract concepts
Inducing new skills and knowledge into their academic journeys
Fostering individual reflection, and independent and critical thinking
Editing and proofreading
Because I am constantly available to respond to your queries, you may decide to rely on me whenever you require my assistance. As an assurance, my knowledge skills and expertise enable me to quickly assist learners with different academic challenges in areas with difficulty in understanding. Ultimately, I believe that I am a reliable tutor concerned about my learner's needs and interests to solve their urgent projects. My purpose is always to assist them in comprehending abstract schoolwork and mastering their subjects. I also understand that plagiarism is a severe offense and has serious ramifications. Owing to this, I always make it a point to educate learners on the numerous strategies to have uniquely unique solutions. I am familiar with the following formatting styles:
MLA
APA
Harvard
Chicago
IEEE
Communication is always the key in every interaction with my learners. Hence, I provide timely communication about the progress of assigned projects. As a result, I make sure that I maintain excellent communication with all of my clients. I can engage with all of my customers more effectively, assisting them with their unique academic demands. Furthermore, I attempt to establish a solid working relationship with my leaners I have exceptional abilities in the below areas;
Sociology
History
Nursing
Psychology
Literature
Health and Medicine
Chemistry
Biology
Management
Marketing
Business
Earth Science
Environmental Studies
Education
Being a teacher who aces in diverse fields, I provide various academic tasks, which include;
Academic Reports
Movie Reviews
Literature Reviews
Annotated bibliographies
Lab reports
Discussion posts
Dissertations
Case study analyses
Research proposals
Argumentative Essays
I guarantee you high-quality Papers!!!!!
5.00+
17+ Reviews
32+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let X and Y be independent binomial random variables with parameters (n, p1) and (m, p2), respectively. (a) Find E (X/n Y/n) (b) Find Var (X/n Y/n) (c) Show that (x/n Y/n) ~ N (E(Y/n Y/n), Var...
-
Let X and Y be independent random variables with uniform densities in [0, 1]. Let Z = X + Y and W = X Y. Find (a) p (X, Y ) (see Exercise 18). (b) p (X,Z). (c) p (Y,W). (d) p (Z,W).
-
Let X and Y be independent random variables with uniform densities in [0, 1]. Let Z = X + Y and W = X Y. Find (a) p (X, Y ) (see Exercise 18). (b) p (X,Z). (c) p (Y,W). (d) p (Z,W).
-
How can staff review the effectiveness of their work, the services they provide and the social and cultural factors impacting on clients, groups or communities?
-
Suppose two variables are positively correlated. Does the response variable increase or decrease as the explanatory variable increases?
-
A 5.00-kg block is moving at Vo = 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall (Fig. 6.36). The spring has negligible...
-
What should be done to remedy the situation?
-
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 50 kpsi. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for...
-
Write any two Ups" for loan pricing. disadvantages of using "Mark
-
Jaguar Auto Company provides general car maintenance to customers. The company?s fiscal year-end is December 31. The December 31, 2021, trial balance (before any adjusting entries) appears below. In...
-
Let X and Y be independent standard normal random variables. Find the mgf of X 2 +Y 2 . What can you conclude about the distribution of X 2 +Y 2 ?
-
Is Warren correct in saying there is more to us than meets the eye? Explain.
-
Rewrite the two classes in the Parking Lot program of Section 11.2 to include an email attribute (Email) and its associated access methods (SetEmail() and GetEmail()). The Email attribute and access...
-
In an air-pollution study performed at an experiment station, the following amount of suspended benzenesoluble organic matter (in micrograms per cubic meter) was obtained for eight different samples...
-
The figure shows a sketch of the curve with equation y = f(x). The curve passes through the points (0, 3) and (4, 0) and touches the x-axis at the point (1, 0). On separate diagrams, sketch the...
-
An object is placed \(200 \mathrm{~mm}\) from a diverging thin lens that has a focal length of \(-500 \mathrm{~mm}\). What are (a) the image distance and \((b)\) the magnification? (c) Draw a...
-
In a study of warp breakage during the weaving of fabric (Technometrics [1982]: 63), 100 pieces of yarn were tested. The number of cycles of strain to breakage was recorded for each yarn sample. The...
-
Many consider family-owned businesses the backbone of American business. Mei Mei translates from Chinese to little sister in English, and its name aptly represents a family business of three...
-
In Exercises set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x y 4 3 2 1 1 2 + + 3 4 X
-
Differentiate the following terms/concepts: a. Personality types and money attitudes b. Planners and avoiders c. Moderating and adapting to biases d. "Perfectible judges" and "incorrigible judges"
-
Do boys with better glycemic control have different growth patterns in weight than boys with poorer glycemic control?
-
What is the standard deviation of adult height for the women in the first quartile group (group Q1)? Pediatrics A study was conducted to assess the association between climate conditions in infancy...
-
What test can be performed to compare the mean adult height between the first (Q1) and the fourth (Q4) quartiles? (Assume that the underlying variances of adult height in Q1 and Q4 are the same.)...
-
On consolidated financial statements, where does the parents equity in the net income of the subsidiary account appear? A. On the consolidated income statement, as a revenue B. On the consolidated...
-
Which of the following is not one of the elements of the balanced scorecard? a.cost system b.strategic initiatives c.performance targets d.strategy maps
-
Yield to Maturity and Call with Semiannual Payments Shares Remaining After Recapitalization Dye Trucking raised $75 million in new debt and used this to buy back stock. After the recap, Dye's stock...
Study smarter with the SolutionInn App