If A, B, and C are mutually exclusive events with P(A) = 0.2, P (B) =0.3, and

Question:

If A, B, and C are mutually exclusive events with P(A) = 0.2, P (B) =0.3, and P(C) = 0.4, determine the following probabilities:
(a) P (A U B U C)
(b) P (A ∩ B ∩ C)
(c) P (A ∩ B)
(d) P [(A U B) ∩ C]
(e) P (A’ ∩ B’ ∩ C’)

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

Step by Step Answer:

Related Book For book-img-for-question

Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

See More Books

Question Posted: Nov 12, 2009 05:19 AM

See More Questions

If A, B, and C are mutually exclusive events, is it possible for P (A) = 0.3, P (B) = 0.4, and P (C) = 0.5? Why or why not?
Are exhaustive events necessarily mutually exclusive? Are mutually exclusive events necessarily exhaustive? Explain your answers.
Amounts to be received by a partner during liquidation. A condensed balance sheet for a partnership to be liquidated is as follows: The profit and loss percentages for Partners A, B, and C are 50%,...
Two bars AB and BC of negligible weight are attached to a single spring of constant k that is unstretched when the bars are horizontal. Determine the range of values of the magnitude P of two equal...
A client has agreed to invest 100,000 one year from now in a business planning to expand, and she has decided to set aside the funds today in a bank account that pays 7 percent compounded quarterly....
Draw the approximate plots of isochoric, isobaric, isothermal, and adiabatic processes for the case of an ideal gas, using the following variables: (a) p, T; (b) V, T.
A BMW hydrogen car uses $2.5 \mathrm{kWh} / \mathrm{km}$. Compare this performance with that of an average U.S. car that is able to get $22 \mathrm{mpg}$ of gasoline.
On January 1, 2014, Gottlieb Corporation issued $4,000,000 of 10-year, 8% convertible debentures at 102. Interest is to be paid semiannually on June 30 and December 31. Each $1,000 debenture can be...
11. List 5 food safety responsibilities of a manager: 1. 2. 3. 4. 5. 12. Marketing Food Safety - List 4 ways to show staff and guest that a manager takes food safety seriously 1. 2. 3. 4.
Dionne earns $15.30 per hour at Jolly Creamery. Compute the pay under both the hundredth-hour and quarter-hour systems. The company is considering switching from a quarter-hour method to a...
If P (A) = 0.3, P (B) = 0.2, and P (A U B) = 0.1, determine the following probabilities: (a) P (A) (b) P (A U B) (c) P (A` B) (d) P (A B) (e) P [(A U B)] (f) P (A` U B)
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low Scratch high 70 9...
In the UK Value Added Tax is administered by: (a) HM Revenue and Customs Department (b) The local borough (c) The Board of Trade
Garba Exports Ltd. is a manufacturer of cotton yarn. It has 40% debt and 60% equity in its capital structure. The firms estimated after-tax cost of debt is 7% and its estimated cost of equity is 12%....
Hills Ltd. has just announced a dividend of 2.50 per share for the year. It plans to increase this dividend by 5% next year and maintain it at the new level for the foreseeable future. If the...
Belle Fashions supplies garments to high street retailers. They have been paying dividends steadily for 10 years. During that time, dividends have grown at a compound annual rate of 5%. If Belle...
Consider two investment projects, both of which require an upfront investment of $12 million and pay a constant positive amount each year for the next 10 years. Under what conditions can you rank...
Your firm is considering a project that would require purchasing $7.2 million worth of new equipment. Determine the present value of the depreciation tax shield associated with this equipment if the...
Explain how window placement in a building could be defined as (a) a passive solar feature, (b) an energy conservation technique, (c) both of these.
Write each fraction as a percent. 7 50
The following symbolized arguments are missing a premise. Write the premise needed to derive the conclusion (last line ), and supply the justification for the conclusion. Try to construct the...
The number of hits (views) is recorded at a high-volume Web site in a day. Provide a reasonable description of the sample space. There can be more than one acceptable interpretation of each...
Each of 24 Web sites is classified as containing or not containing banner ads. Provide a reasonable description of the sample space for each of the random experiments. There can be more than one...
A scale that displays two decimal places is used to measure material feeds in a chemical plant in tons. Provide a reasonable description of the sample space for each of the random experiments. There...
The imposition of a ceiling on the length of time a criminal case should take to get to trial is a multifaceted issue, balancing the defendant's right to a timely trial with the complexities of...
Discuss three changes written into the Constitution in 1789 that changed the government from what it was under the ArticIes of Confederation?
Assume South Park is initially closed to trade. Domestic supply and demand for winter hats is given by the following equations: D = 60 - 4P, S = 2P - 6. a. Suppose South Park opens up to trade and...

If A, B, and C are mutually exclusive events with P(A) = 0.2, P (B) =0.3, and

Question:

Step by Step Answer:

a PAUBUC PA PB PC because the events are m...View the full answer

Applied Statistics And Probability For Engineers

Students also viewed these Statistics questions