Prove the assertions made in Example 3.3 (iv), (vi) and (vii). [ use (2.6) for (vii).] Data
Question:
Prove the assertions made in Example 3.3 (iv), (vi) and (vii). [ use (2.6) for (vii).]
Data from example 3.3
Equation 2.6
Transcribed Image Text:
(i) P(X) is a o-algebra (the maximal o-algebra in X). (ii) {0, X) is a o-algebra (the minimal o-algebra in X). (iii) {0, B, B, X), BC X, is a o-algebra. (iv) {0, B, X) is no o-algebra (unless B=0 or B=X).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
iv vi vii Let us assume th...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Use Fig. During a session of the U.S. Senate, three bills were voted on. The votes of six senators are shown. Determine in which region of the figure each senator should be placed. The set labeled...
-
Use Fig. During a session of the U.S. Senate, three bills were voted on. The votes of six senators are shown. Determine in which region of the figure each senator should be placed. The set labeled...
-
Use Fig. During a session of the U.S. Senate, three bills were voted on. The votes of six senators are shown. Determine in which region of the figure each senator should be placed. The set labeled...
-
We consider and simulate the supply chain under a wholesale price contract. As mentioned, we use a retail price of $10, a unit production cost of $2.50, and a (monthly) demand that is normally...
-
The use of impinging air jets is proposed as a means of effectively cooling high-power logic chips in a computer. However, before the technique can be implemented, the convection coefficient...
-
Nautical Footwear Inc. manufactures womens boating shoes. Manufacturing overhead is assigned to production on a machine-hour basis. For 2022, it was estimated that manufacturing overhead would total...
-
American Paging, Inc., is the seventh largest paging company in the United States. In a recent balance sheet, it reported a current liability of \(\$ 8,452,379\) that was labeled Unearned Revenues...
-
At year-end 2008, total assets for Ambrose Inc. were $1.2 million and accounts payable were $375,000. Sales, which in 2008 were $2.5 million, are expected to increase by 25% in 2009. Total assets and...
-
) The smaller subgroups can be considered simple random samples because the initial selection was based on simple random sampling procedure therefore the subgroups will be having sampled units that...
-
Let \(X=\mathbb{R}\). Find the \(\sigma\)-algebra generated by the singletons \(\{\{x\}: x \in \mathbb{R}\}\).
-
Let \(\mathscr{A}\) be a \(\sigma\)-algebra. Show that (i). if \(A_{1}, A_{2}, \ldots, A_{N} \in \mathscr{A}\), then \(A_{1} \cap A_{2} \cap \cdots \cap A_{N} \in \mathscr{A}\); (ii). \(A \in...
-
Thallium has the ground-state configuration [Xe]4f145d106s26p1. Give the group and period for this element. Classify it as a main-group, a d-transition, or an f-transition element.
-
What are the key skills required of a key account manager?
-
What are the implications to the conduct of an audit and the auditor's assessment of internal control over financial reporting if the auditor concludes that an orga- nization's control environment...
-
Describe a dual-purpose test. What is the purpose of such a test? Give an example of such a test.
-
Which of the following would be considered a significant deficiency in an organization's control environment? a. The internal audit function is outsourced to a public accounting firm that is not...
-
The annual revenue of each team in a pro sports league. In Exercises 1120, determine whether the data set is a population or a sample. Explain your reasoning.
-
Eagle Corporation established a subsidiary to enter into a new line of business considered to be substantially more risky than Eagles current business. Eagle transferred the following assets and...
-
Complete the following acid-base reactions: (a) HCCH + NaH
-
Let \(\left(B_{t}, \mathscr{F}_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{1}\). Show that \(X_{t}=\exp \left(a B_{t}+b tight), t \geqslant 0\), is a martingale if, and only if, \(a^{2} / 2+b=0\).
-
Let \(p(t, x)=(2 \pi t)^{-d / 2} \exp \left(-|x|^{2} /(2 t)ight), x \in \mathbb{R}^{d}, t>0\), be the transition density of a \(d\)-dimensional Brownian motion. a) Show that \(p(t, x)\) is a solution...
-
Let \(\left(B_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{d}\). Find all \(c \in \mathbb{R}\) such that \(\mathbb{E} e^{c\left|B_{t}ight|}\) and \(\mathbb{E} e^{c\left|B_{t}ight|^{2}}\) are finite.
-
Art Jones sold a put option on British pounds for AUD 0.0346 per unit. The strike price was AUD 2.0149 and the spot rate at the time the option was exercised was AUD 1.9873. Assume Art did not obtain...
-
Compute the Payback statistic for the following project and recommend whether the firm should accept or reject the project with the cash flows shown below if the appropriate cost of capital is 11...
-
Bank A offers a savings account with an annual quoted rate of 3 % compounded 2 4 times per annum. Bank B ' s software is limited to semi - annual compounding. What quoted rate does Bank B have to...
Study smarter with the SolutionInn App