Let A, B, C be independent events taken from a sample space S. Prove that the events

Question:

Let A, B, C be independent events taken from a sample space S. Prove that the events A and B U C are independent.

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

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:18 AM

See More Questions

Let A, B be events taken from a sample space If Pr(A) = 0.6, Pr(B) = 0.4, and Pr(A U B) = 0.7, find Pr(A|B) and Pr(A|). S.
Let A, B be events taken from a sample space (with Pr(A) > 0 and Pr(B) > 0). If Pr(B|A)
Let A, B be events taken from a sample space If Pr(A) = 0.5, Pr(B) = 0.3, and Pr(A|B) + Pr(B|A) = 0.8, what is Pr(A © B)? S.
Find the equations of the parabolas satisfying the given conditions. The vertex of each is at the origin. Directrix y = 0.16
Preventive maintenance can be viewed as the process of maintaining the health of a machine. Using health care asan analogy, explain the differences and tradeoffs between breakdown maintenance,...
Consider the matrix C = I -J n , where I M.n ' n is the identity matrix and Jn G Rn , n is a matrix consisting of 1. This matrix is called a centering matrix, since x TC = {xi x}, where x = [,^, ...
Think about your class as an organization that is part of an open system, including your school and the outside environment. What external factors affect what you do in class? How does your class...
Morrison and Amato have decided to form a partnership. They have agreed that Morrison is to invest $150,000 and that Amato is to invest $50,000. Morrison is to devote one-half time to the business...
Preparation and Interpretation of Financial Statemen Bachino's Pizza's accounts follow. The company has just completed its first year of operations ended September 3 0 , 2 0 1 4 . Accounts Payable: $...
Richard chooses technique 0 and 2 requiring 10+10-20 efforts and provising 10+11=21 benefits. Hence, 21 is returned as the output Example 2: input1: 3 input2: (10,10,10,10) input3: (10,11,12,15)...
Let S be the sample space for an experiment , with events A, B Prove that PrA PA)+Pr(B)1 Pr(B)
Let A, B, U. Prove or disprove (with a counterexample) each of the following: a) A - C = B - C A = B b) [(A C = B C) (A - C = B - C)] A = B c) [(A U C = B U C) (A - C = B - C)] A = B
Alternative joint-cost-allocation methods, further-process decision. The Wood Spirits Company produces two productsturpentine and methanol (wood alcohol)by a joint process. Joint costs amount to...
Antismoking advocates cheered in the summer of 1997 when the U.S. tobacco industry agreed to pay out more than U.S. $$368.5$ billion to settle lawsuits brought by forty states seeking compensation...
Generate the full set of clauses for the map-coloring graph in Figure 8.1. Resolve these clauses to prove that a three-coloring solution does exist for the graph. data from figure 8.1 A B C D
To test $H_{0}: \mu=80$ versus $H_{1}: \mu <80$, a simple random sample of size $n=22$ is obtained from a population that is known to be normally distributed. (a) If $\bar{x}=76.9$ and...
Check that there are at least $2\left(\begin{array}{c}n \\ 3\end{array} ight)$ different hierarchical models which contain all twoway interaction terms for an $n$-way contingency table.
A cam with $30 \mathrm{~mm}$ as minimum diameter is rotating clockwise at a uniform speed of $1200 \mathrm{rpm}$ and operates a roller follower of $10 \mathrm{~mm}$ diameter as given below: (i)...
Consider your decision to read this textbook on economics. Identify which of the four core principles of economics is most relevant for the following aspects of that decision. a. Reading this...
(8%) Problem 6: A student attaches a f= 3.5 kHz oscillator to one end of a metal rail of length L = 25 m. The student turns on the oscillator and uses a piezoelectric gauge at the other end to...
Is a circle a special type of ellipse? Why or why not?
In Exercises 6-13, match the equation with one of the graphs (a)-(h), which follow. 1. y2 = 5x 2. y2 = 9 - x2 3. 3x2 + 4y2 = 12 4. 9y2 - 4x2 = 36 5. x2 + y2 + 2x - 3y = 8 4321 -12345 54321-12345 1- /...
In Exercises, match the equation with one of the graphs (a)-(d), which follow. 1. 4x2 - y2 = 4 2. x2 - 2x - 3y = 5 3. x2 + 4x + y2 - 2y - 4 = 0 4. 9x2 + 4y2 = 36 2345 y. \ y, 5 4 \21,e-4-5 54321 543...
Comparative financial statements for Weller Corporation, a merchandising company, for the year ending December 31 appear below. The company did not issue any new common stock during the year. A total...
Mrquered Mrquered
You plan to invest $10,00 today in an investment account earning 5% interest. You then plan to invest an additional $1,000 into this account each year for the next twenty years. How much money will...

Let A, B, C be independent events taken from a sample space S. Prove that the events

Question:

Step by Step Answer:

PrABUC PrABUAC PrABPrACPrABAC Since A B C a...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions