Prove that if events (A) and (B) are mutually exclusive, (P(A)>0) and (P(B)>0), then events (A) and

Question:

Prove that if events $A$ and $B$ are mutually exclusive, $P(A)>0$ and $P(B)>0$, then events $A$ and $B$ are dependent.

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

Step by Step Answer:

Related Book For book-img-for-question

Theory Of Probability

ISBN: 9781351408585

6th Edition

Authors: Boris V Gnedenko

See More Books

Question Posted: May 06, 2024 04:02 AM

See More Questions

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...
6. If holding assets in a diversified portfolio, why is beta, and not standard deviation, the appropriate measure of risk for an individual asset? 7. If holding assets in a diversified portfolio, why...
If events A and B are mutually exclusive and events B and C are mutually exclusive, must events A and C be mutually exclusive? Give an example supporting your answer.
A functional structure is best suited when a single department has a: dominant interest. surplus of resources. project sponsor. dominant role
Christy plans to paint both sides of a fence whose base is in the xy-plane with shape x = 30 cos3 t, y = 30 sin3 t, 0 ( t ( (/2, and whose height at (x, y) is 1 + 13 y, all measured in feet. Sketch a...
In Exercises determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If '(x) = g(x), then g(x) dx = (x) + C.
What personal characteristics enable some people to work remotely better (or worse) than other people? Why are those attributes important?
Jenson Department Store is divided into three major departments: Mens Clothing, Womens Clothing, and Home Furnishings. Each of these three departments is supervised by a manager who reports to the...
Sed Help The following information applies to the questions displayed below! Simon Company's year-end balance sheets follow Current YE 1 Ye 0 2 Yes No AL December 31 Assets Cash Accounts receivable,...
Let $A_{1}, A_{2}, \ldots, A_{n}$ be random events. Prove the formula \[ \begin{aligned} P\left\{\sum_{k=1}^{n} A_{k} ight\}=\sum_{i=1}^{n} P\left(A_{j} ight)- & \sum_{1 \leqslant i
The events $A_{1}, A_{2}, \ldots, A_{n}$ are independent; $P\left(A_{k} ight)=p_{k}$. Find the probability of: (a) the occurrence of at least one of these events; (b) the nonoccurrence of all...
In what ways did Shonda leverage power and influence tactics to combat the toxic culture of workplace harassment at Imperium Omni? Were there any other tactics she could have used, and would they...
28. What will this program print, assuming dynamic scoping? (10 points) Consider the following code snippet for problems #29-31. For this problem, assume dynamic scoping. program main() 1. 2. { 3. 4....
The reaction X + Y products was studied using the method of initial rates. The initial rate of consumption of X was measured in three different experiments. Data are provided below. Expt [X] 0 (in...
1 . Journalize the following transactions: ( a ) Issued 1 , 0 0 0 shares of $ 1 0 par common stock at $ 5 9 for cash. ( b ) Issued 1 , 4 0 0 shares of $ 1 0 par common stock in exchange for equipment...
Using alpha .05, determine if moving to a larger enclosure decreased tiger anxiety levels. You should first calculate the difference (After - Before) Tiger Before Anthony 45 45 Banthony 56 After 38...
Cyclohexane (C 6 H 12 ) is produced by mixing Benzene and hydrogen. A process including a reactor, separator, and recycle stream is used to produce Cyclohexane. The fresh feed contains 260L/min C 6 H...
The following balances appear on the books of Sarah Simon Enterprises: Retained Earnings, $ 26,100; Dividends, $ 8,500; Service Revenue, $ 23,700; Salaries Expense, $ 6,100; Rent Expense, $ 4,000;...
Ball bearings are widely used in industrial applications. You work for an industrial food machinery manufacturer and your role is to design the driveshaft assembly on a new type of equipment that...
what is abo ut Nikki Giovanni: A Literary Biography
Suppose one person enters the barber shop every 30 minutes and one person leaves the barber shop every 40 minutesanser is m/m/2
Financial Statements for use on Tasks Here are the financial statements you are to use in this exercise: ACME Iron Balance Sheet Assets Current assets: 2014 2015 change Cash 500,000 600,000 100,000...

Prove that if events (A) and (B) are mutually exclusive, (P(A)>0) and (P(B)>0), then events (A) and

Question:

Step by Step Answer:

Theory Of Probability

Students also viewed these Business questions