Using MGFs prove that if X Binomial(m, p) and Y Binomial(n, p) are independent, then

Question:

Using MGFs prove that if X ∼ Binomial(m, p) and Y ∼ Binomial(n, p) are independent, then X + Y ∼ Binomial(m + n, p).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

See More Books

Question Posted: Oct 27, 2023 02:44 AM

See More Questions

Prove that if X and Y are two independent random variables, then U = g(X) and V = h(Y) are also independent.
The contribution income statement would require a firm to: A) Separate costs into fixed and variable categories. B) Separate revenue into different categories. C) Round off amounts to the nearest...
If X and Y are independent binomial random variables with identical parameters n and p, show analytically that the conditional distribution of X given that X + Y = m is the hypergeometric...
In the figure below, a square of edge lengths is formed by four spheres of masses, m, M, m3, and m4. What is the x component and the y component of the net gravitational force from them on a central...
Briefly describe the partial sale model of privatization. What is the predominant characteristic of the partial sale? How can a minority private investor try to protect itself from abuse by the...
Find the order of accuracy in the trapezoidal rule and Simpson's rule.
Construct the Nyquist diagram for a single-degree-of-freedom system with hysteretic damping.
After a dispute concerning wages, John Lyon destroyed all information systems files and tossed an incendiary device into the Smiley Companys record vault. Within moments, only a few readable, charred...
1. Draw a picture of a half circle bowl of radius 0.5 meters 2. Draw a ball of mass 0.5 kilograms being held at one edge of the bowl and write next to it what type of energy it has when held there....
Let X be a continuous random variable with the following PDF Find the MGF of X, M X (s). fx(x) = +) == 12e-1|2|1 e-A/).
Using MGF s show that if X N( X , 2 X ) and Y N( Y , 2 Y ) are independent, then X + Y ~ N] + Y, on ti
Discuss the relative riskiness of investment in bonds, common stock, and preferred stock.
What was the insurance expense on the income statement for 2025? Coronado Company paid or collected during 2025 the following items: Insurance premiums paid Interest collected Salaries paid $30200...
Telework opportunities are increasing in health care as they are in other employment sectors. Describe how members of a team can support each other best when they work on different schedules, in time...
The individual financial statements for Abbey Company and Bellstar Company for the year ending December 31, 2024, follow. Abbey acquired a 60 percent interest in Bellstar on January 1, 2023, in...
Jackson County Senior Services is a nonprofit organization devoted to providing essential services to seniors who live in their own homes within the Jackson County area. Three services are provided...
Suppose that to boost the production of rice, the Vietnamese government provides a subsidy of VND1,000/kg of rice to farmers. Also assume the rice market in Vietnam is perfectly competitive and...
Name the five structural isomers of C6H14
Which one of the following anhydrous chloride is not obtained on direct heating of its hydrated chloride? (A) BaCl2 (B) CaClz (C) MgCl2 (D) SrCl2
Various breakdowns can be used for sales analysis depending on the nature of the company and its products. Describe a situation (one for each) where each of the fol lowing brea k downs would yield...
Distinguish between a sales analysis and a performance analysis.
Carefully explain what the iceberg principle should mean to the marketing manager.
Q1. Sometimes the marketplace and products change so fast that there is no time to develop marketing plans. Businesses such as Commonwealth Bank, Westpac or Woolworths encounter such market...
Consider the function y = x-2x-2 a) Copy and complete the following tables of values. P and Q are points on the graph of f(x) P Q Slope of Line PQ Slope of P Q Line PQ (-1,1) (-2,6) -5 --5 (-1,1) (0,...
answer this without equality issue: + Use Irish Law + needs all relevant issues Seamus has worked as a teacher for five years.He isn't "on a contract of indefinite duration" or permanent; instead, he...

Using MGFs prove that if X Binomial(m, p) and Y Binomial(n, p) are independent, then

Question:

Step by Step Answer:

We have Mxs pe 1p Mys pes1p Since ...View the full answer

Introduction To Probability Statistics And Random Processes

Students also viewed these Business questions