Suppose P(A) = P(B) = 0.3 and P(A|B) = 0.5. Find P(A B).

Question:

Suppose P(A) = P(B) = 0.3 and P(A|B) = 0.5. Find P(A ∪ B).

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

Step by Step Answer:

Related Book For book-img-for-question

Probability With Applications and R

ISBN: 978-1118241257

1st edition

Authors: Robert P. Dobrow

See More Books

Question Posted: Oct 10, 2018 12:37 PM

See More Questions

Suppose P(A) = 0.40, P(B) = 0.60, and P(A or B) = 0.80. Find (a) P(neither A nor B occur). (b) P(AB). (c) P(one of the two events occurs, and the other does not).
Suppose that A and B are events defined on a common sample space and that the following probabilities are known: P(A) =0.4 P(B) = 0.3 and P(A or B) = 0.66. Find P (A.B).
Suppose that R = {(x, y): 0 ( x ( 2, 0 ( y ( 2}, R1 = {(x, y): 0 ( x ( 2, 0 ( y ( 1}, and R2 = {(x, y): 0 ( x ( 2, 1 ( y ( 2}. Suppose, in addition, that And Use the properties of integrals to...
The current zero-coupon yield curve of semi-annually compounded rates for risk-free bonds is as follows: 1.0 Years 1.5 Years 2.0 Years 2.5 Years 3.0 Years 9.00% 10.20% 3.00% 4.00% 6.20% MATURITY 0.5...
Assume that you are purchasing an investment and have decided to invest in a company in the smartphone business. You have narrowed the choice to Best Digital Electronics or Zone Network Electronics...
The following cost of quality data were collected at the installment loan department of the Kenney Bank. Classify these data into the appropriate cost of quality categories and analyze the results....
Show that another way of writing the flux due to pressure diffusion is in terms of partial molar volume and the total mixture density is \[J_{\mathrm{A}}^{*}(\text { pressure diffusion })=-C...
Hathaway Manufacturing issues long-term debt on January 1, 2011. The debt has a face value of $300,000 and an annual stated interest rate of 10 percent. The debt matures on January 1, 2016. (a)...
Why is A/B testing so useful for marketing, and digital marketing in particular? Give at least two examples of A/B testing for marketing purposes. Give a null and alternative hypothesis for one of...
The probabilities are 0.4, 0.2, 0.3, and 0.1, respectively, that a delegate to a certain convention arrived by air, bus. Auto mobile, or train what is the probability that among 9 delegates randomly...
Use R to simulate the probability in Exercise 1.30 Data from Exercise 1.30: A tetrahedron dice is four-sided and labeled with 1, 2, 3, and 4. When rolled it lands on the base of a pyramid and the...
Suppose P(A) = P(B) = p 1 and P(A U B) = p 2 . Find P(A|B).
In this group activity, you will be given a balance sheet at the beginning of the year, the income statement and cash flow statement for the year, and additional data. Using that information, you...
Fama and French (1993) specified and tested a bond model. What did their results show?
If CAPM beta does not explain stock returns, what does? In this regard, Fama and French (1992) found that stock returns were related to two firm characteristics. What are these characteristics and...
Fama and French (1993) used the size and BM variables to construct zero investment factors. Define these factors and write the equation for their resultant three-factor model. What are the...
How did Fama and French (1996) counter criticisms of their three-factor model? Do you think that multifactor models are needed to more fully price assets or are investors irrational leading to...
Fama and French (1993) conducted tests of their proposed three-factor model. What were the test asset portfolios? What did they find? Discuss the results for estimated beta coefficients and...
The text discusses four types of inventory. Select a business (not one given in the text), and identify examples of all four classes of inventory as they can be applied to that business.
On the basis of the details of the following fixed asset account, indicate the items to be reported on the statement of cashflows: ACCOUNT Land ACCOUNT NO. Balance Date Item Debit Credit Debit Credit...
Calculate statistical power based on the data presented in Exercise 8.55 using the following alpha levels in a one-tailed test: a. Alpha of 0.05, or 5% b. Alpha of 0.10, or 10% c. Explain how power...
A New York Times article reported on the growing problem of homelessness among families (Bellafante, 2013). The reporter wrote that families in a city-run program called Homebase had shorter stays...
A meta-analysis examined studies that compared two types of mental health treatments for ethnic and racial minoritiesthe standard available treatments and treatments that were adapted to the clients...
Gilbert Canned Produce (GCP) packs and sells three varieties of canned produce: green beans; sweet peas; and tomatoes. The company is currently operating at 82 percent of capacity. Worried about the...
The accounting records of Allen Insulation, Inc. reflected the following balances as of January 1, 20x0: Beginning Inventory: $190 units @ $120 The following transactions occurred in 20x0: January...
Sarasota Limited has a calendar-year accounting period. The following errors were discovered in 2023. 1. The December 31, 2021 merchandise inventory had been understated by $50,400. 2. 3. Merchandise...

Suppose P(A) = P(B) = 0.3 and P(A|B) = 0.5. Find P(A B).

Question:

Step by Step Answer:

We know PAB PA...View the full answer

Probability With Applications and R

Students also viewed these Mathematics questions