The Outcome (A or B) sometimes is called the union of A and B. The union event
Question:
The Outcome (A or B) sometimes is called the union of A and B. The union event occurs if either Outcome A or Outcome B (or both) occurs. Suppose that both A and B can happen at the same time (i.e., their areas overlap in a Venn diagram). Show that P (A or B) = P (A) + P (B) – P (A and B). Use a Venn diagram to explain. Why is this result consistent with the second requirement that probabilities add up?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
From the diagram it is clear that P A P A and B PA a...View the full answer
Answered By
AMALU B
I have completed BS-MS dual degree in Biological Sciences from IISER Bhopal, one of the premier institutes in India for science education and research, which helped me to gain depth knowledge in the field of biology, as well as the five-year training, increased the ability to logically analyze the scientific problems which is required to design experiments and to analyze the results.
I have qualified CSIR-JRF, Rank 64, ( CSIR-NET exam is conducted in the all India level)
I have been working as a subject matter expert in an online firm for more than one year as a subject matter expert in biology.
0.00
0 Reviews
10+ Question Solved
Related Book For
Making Hard Decisions with decision tools
ISBN: 978-0538797573
3rd edition
Authors: Robert Clemen, Terence Reilly
Question Posted:
Students also viewed these Statistics questions
-
If A is any 2 Ã 2 matrix, show that: for some numbers p, q, r, and s. I 01 0 1 A=p 1 0 1 0
-
The game of blackjack (sometimes called 21) is a popular casino game. The goal is to have a hand with a value of 21 or as close to 21 as possible without exceeding 21. The player and the dealer are...
-
A version of the dice game "craps" is played in the following manner. A player starts by rolling two balanced dice. If the roll (the sum of the two numbers showing on the dice) results in a 7 or 11,...
-
The comparative balance sheets for 2018 and 2017 and the income statement for 2018 are given below for Arduous Company. Additional information from Arduous's accounting records is provided also....
-
A problem with the median voter outcome is that it does not take into account intensity of preferences. Suppose that the government decided to give multiple votes to people with strong preferences,...
-
A sample of n = 7 scores has a mean of M = 5. After one new score is added to the sample, the new mean is found to be M = 6. What is the value of the new score? (Hint: Compare the values for X before...
-
You have just completed your project and have to confront the final activities your company requires when putting a project to bed. Which of the following activities is not expected to be part of the...
-
Carabiner Co. sold 28,000 annual magazine subscriptions for $40 during December 2012. These new subscribers will receive monthly issues, beginning in January 2013. In addition, the business had...
-
Google Outlook Web App Citric Staples Mattressum eBook Show Me How Calculator Print item Working capital and current ratio Current assets and current liabilities for Brimstone Company follow: 2014...
-
You think the price of AMZN stock, which is currently $900 is likely to change significantly over the next three months, you are just not sure which direction. So you buy a long straddle position,...
-
Use the probability table in Exercise 7.3 to find P(A or B), or the out-come where either A occurs or B occurs (or both). 1 0.12 0.29 0.41 0.53 0.06 0.59 0.65 0.35 1.00
-
Often it is difficult to distinguish between the probability of anointer section of outcomes (joint probability) and the probability of a conditional outcome (conditional probability). Classify the...
-
On January 1, 2015, Warr Delivery Company purchased some equipment for $64,768 in cash. Warr Delivery immediately leased the equipment; Warr Delivery is the lessor. The lease contract calls for the...
-
The table below shows the population of Mozambique between 1960 and 2010. This data can be modelled using an exponential function of the form P = ab t , where t is the time in years since 1960 and a...
-
Southco is a medium-sized American-owned global manufacturer of access hardware solutions, such as latches and hinges, used for applications in the aircraft, railway, computer and automotive...
-
To what extent do staffing processes at the Dionysos reflect the strategic approach to recruitment and selection encapsulated by the conceptual framework and model depicted in Key Concepts 8.4 and...
-
Im an accounting major, not an operations expert, yelled just-promoted Bob Barthrow, the executive vice president of the Midwest Frequent Flyer Call Center, during a senior-level management meeting....
-
The Hudson Jewelers case study can be found in Appendix C. Chapter 14 Case Question for Discussion: 1.Customer demand (weekly visits) at Hudson Jewelers is highly seasonal, as shown in the worksheet...
-
Max Computer Center incurred the following casualty and theft losses in 2019: Compute the casualty and theft loss for each item listed. Event a. b. C. a. b. = C 11 Robbery-Equip. Fire-Truck...
-
Bonus shares can be issued out of revenue reserves. True/False?
-
A form the accounting department uses before making payment to document the accuracy of all information about a purchase. True/False
-
Here is a decision tree for the profits (in $000s) you project for your sales of the cell phone screen defroster, depending on the weather this coming winter and your choice of advertising method:...
-
For the cost matrix of Exercise 3, In exercise a) What is the minimax choice? b) What is the minimin choice? Action Outcome State Warm550 Moderale600 Cold710 Warm 410 Moderate 590 Cold800 Warm 750...
-
For the decision tree of Exercise 4, In exercise a) What is the maximin choice? b) What is the maximax choice? Action Outcome State Warm550 Moderale600 Cold710 Warm 410 Moderate 590 Cold800 Warm 750...
-
Just work out the assignment on your own sheet, you dont need the excel worksheet. Classic Coffee Company Best friends, Nathan and Cody, decided to start their own business which would bring great...
-
Financial information related to the proprietorship of Ebony Interiors for February and March 2019 is as follows: February 29, 2019 March 31, 2019 Accounts payable $310,000 $400,000 Accounts...
-
(b) The directors of Maureen Company are considering two mutually exclusive investment projects. Both projects concern the purchase of a new plant. The following data are available for each project...
Study smarter with the SolutionInn App