Prove the addition rule for conditional probabilities. That is, show that for events A, B, and C,
Question:
Prove the addition rule for conditional probabilities. That is, show that for events A, B, and C, P(A U B|C) = P(A|C) + P(B|C) − P(AB|C).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (12 reviews)
PA U BC PA U BCPC P...View the full answer
Answered By
Joseph Ogoma
I have been working as a tutor for the last five years. I always help students to learn and understand concepts that appears challenging to them. I am always available 24/7 and I am a flexible person with the ability to handle a wide range of subjects.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The results we obtain with conditional probabilities can be quite counterintuitive, even paradoxical. This case is similar to one described in an article by Blyth (1972), and is usually referred to...
-
Conditional probabilities can be useful in diagnosing disease. Suppose that three different, closely related diseases (A1, A2, and A3) occur in 25%, 15%, and 12% of the population. In addition,...
-
Consider the experiment depicted by the Venn diagram, with the sample space S containing five sample points. The sample points are assigned the following probabilities: P(E1 = .20, P(E2) = .30, P(E3)...
-
Using real employed samples, multiple field studies indicate that fat women experience more negative outcomes than fat men. In one study conducted by Steven Gortmaker and colleagues and using over...
-
Bricker Frames has asked you to determine whether the company's ability to pay current liabilities and total liabilities improved or deteriorated during 2017. To answer this question, compute these...
-
According to the World Almanac, 72% of households own smartphones. If a random sample of 180 households is selected, what is the probability that more than 115 but fewer than 125 have a smartphone?
-
You have been hired by a catalog company to computerize its sales order entry forms. Approximately 60 percent of all orders are received over the tele- phone, with the remainder either mailed or...
-
The following information is available for Rosetta Company for 2010: Instructions 1. Prepare the 2010 statement of cost of goods manufactured. 2. Prepare the 2010 incomestatement. Inventories January...
-
Find the range and the standard deviation (correct to two decimal places). range 82, 93, 100, 100, 100 standard deviation
-
Cooper Billiards manufactures pool tables. Complete the following table to indicate which account increases or decreases as a result of each action. Note: An action may affect more than one account....
-
Suppose P(A) = 1/2, P(B c |AC) = 1/3 and P(C|A) = 1/4. Find P(ABC).
-
The planet Mars revolves around the sun in 687 days. Answer Von Mises birthday question for Martians. That is, how many Martians must be in a room before the probability that some share a birthday...
-
Can you provide examples of the uses of both inter-individual differences and intra-individual differences?
-
Indigo Sdn. Bhd. (ISB) was founded in 1990. The company has more than 20 years of experience in the office furniture industry. ISB is one of the market leaders in the Malaysian furniture industry and...
-
Write a public instance (not static) method called testVal) in TestUtil.java that returns an int. This method must take a single String parameter. This method will possibly throw 3 Exceptions based...
-
In 1975, interest rates were 7.85% and the rate of inflation was 12.3% in the United States. What was the real interest rate in 1975? How would the purchasing power of your savings have changed over...
-
Mainline Produce Corporation acquired all the outstanding common stock of Iceberg Lettuce Corporation for $30,000,000 in cash. The book values and fair values of Iceberg's assets and liabilities were...
-
Determine the present value now of an investment of $3,000 made one year from now and an additional $3,000 made two years from now if the annual discount rate is 4%. 11) What is the present value of...
-
At January 1, 2021, NCI Industries, Inc. was indebted to First Federal Bank under a $240,000, 10% unsecured note. The note was signed January 1, 2014, and was due December 31, 2022. Annual interest...
-
A superior criticized a sales manager for selling high-revenue, low-profit items instead of lower-revenue but higher-profit items. The sales manager responded, My income is based on commissions that...
-
Noting marked increases in weight across the population, researchers, nutritionists, and physicians have struggled to find ways to stem the tide of obesity in many Western countries. They have...
-
For decades, researchers, politicians, and tobacco company executives debated the relation between smoking and health problems such as cancer. a. Why was this research necessarily correlational in...
-
A researcher interested in the cultural values of individualistic and collectivist societies collects data on the rate of relationship conflict experienced by 32 people who test high for...
-
Comparative Balance Sheets June 30, 2019 and 2018 2019 2018 Assets Cash Accounts receivable, net Inventory Prepaid expenses Total current assets Equipment Accum. depreciation-Equipment Total assets...
-
A company issued 10-year, 7.75% bonds with a face value of $100,000. The company received $97,817 for the bonds. Using the straight-line method of amortization, the amount of interest expense for the...
-
Single Plantwide Factory Overhead Rate Scrumptious Snacks Inc. manufactures three types of snack foods: tortilla chips, potato chips, and pretzels. The company has budgeted the following costs for...
Study smarter with the SolutionInn App