Prove the multinomial theorem 1.9.1. (You may wish to use the same hint as in Exercise 20

Question:

Prove the multinomial theorem 1.9.1. (You may wish to use the same hint as in Exercise 20 in Sec. 1.8.)
In theorem
For all numbers x1, . . . , xk and each positive integer n,

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

Step by Step Answer:

Related Book For book-img-for-question

Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

See More Books

Question Posted: Nov 25, 2015 02:33 AM

See More Questions

Prove the Multinomial Theorem: If n is a positive integer, then Where is a multinomial coefficient. xi 2+Xm) i nm
Use the Runge-Kuria method to approximate solutions to the following NPs and compare the results with the results obtained earlier by Euler's method (and with exact values when possible). You may...
Use mathematical induction to prove Theorem 2.8. Recall that Theorem 2.8 states that given a set of distinct elements, the number of ways to partition the set into groups where the ith group has...
Certain environmental laws prohibit EPA from considering the costs of meeting various standards when the levels of the standards are set. Is this a good example of putting first things first or...
Wood Work Inc. and Modern Furniture Ltd. are two large home furnishing retailers, selling a wide range of furniture, major appliances, and home electronics. The following data were taken from the...
A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in...
Fibers play an important role in the textile industries, with natural fibers usually having low tensile strength, high moisture absorption, variable quality, low durability, and so on. Synthetic...
This case provides a comprehensive and realistic review of WACC computations and some of the theoretical questions related to the WACC and its uses. 1. Compute the yield to maturity and the after-tax...
Assume that at the beginning of the process, 60% of the materials go into production and 40% go into production when the process is 50% completed. The beginning WIP consists of 2000 units, 25%...
Assume an algorithm that takes log 2 n microseconds to solve a problem. Find the largest input size n such that the algorithm solves the problem in time in 24 days. a) 2 140000 b) 2 1440000 c) 2...
Suppose that two boys named Davis, three boys named Jones, and four boys named Smith are seated at random in a row containing nine seats. What is the probability that the Davis boys will occupy the...
Return to Example 1.8.6. Let S be the larger sample space (first method of choosing) and let S' be the smaller sample space (second method). For each element s' of S', let N(s') stand for the number...
Are order getters more aggressive or creative than order takers? Why or why not?
Calculate the amount of capital gain on a $1000 corporate distribution to a shareholder if the shareholder share of earnings and profits is $600 and the shareholders stock basis is $200.
Find the values of x and y that satisfy the equation. 54-yi= 9x-4i and y
Software Expertise: Blog Posting Business Knowledge: Designing Websites and Blogs This lesson will teach you how to create a straightforward blog of your own design using the online blog creation...
Samantha (40) is single and lives in Salisbury, Maryland. She works the majority of her time in Maryland, but does have to travel and work in the company's Delaware office on occasion. At the end of...
What term refers to measuring profits earned from the organization's main line of business? What is capital structure ratio?
In Problems 1328, use properties of logarithms to find the exact value of each expression. Do not use a calculator. ln e -4
1. Advertising for eyeglasses _________ (increases/decreases) the price of eyeglasses because advertising promotes _________. 2. An advertisement that succeeds in getting consumers to try the product...
The following information reflects the results of a survey reported by Mya Frazier in an Ad Age Insights white paper. Working spouses were asked "Who is the household breadwinner?" Suppose that one...
Four equally qualified runners, John, Bill, Ed, and Dave, run a 100-meter sprint, and the order of finish is recorded. a. How many simple events are in the sample space? b. If the runners are equally...
In a genetics experiment, the researcher mated two Drosophila fruit flies and observed the traits of 300 offspring. The results are shown in the table. One of these offspring is randomly selected and...
Create a class named Account that contains: A private int data field named id for the account (default 0). A private double data field named balance for the account (default 0). A private double data...
The next Java code needs to be converted from static to dynamic (just addd changes in same code): import java.util.Scanner; class MyIntStaticCircularQueue { int capacity = 2; int queue[] = new...
Hi! Would a tutor be able to assist me on this? In a complete graph with 48 vertices, how many vertices will be in each node's adjacency list? How many entries will be in the adjacency matrix for...

Prove the multinomial theorem 1.9.1. (You may wish to use the same hint as in Exercise 20

Question:

(x1 + +灰)"- n1. n2 n

Step by Step Answer:

We shall use induction Since we have already proven the binok 01 al theorem we know that the conclus...View the full answer

Probability And Statistics

Students also viewed these Statistics questions