Prove Theorem 2.7 (Tchebysheff). That is, prove that if (X) is a random variable such that (E(X)=mu)
Question:
Prove Theorem 2.7 (Tchebysheff). That is, prove that if \(X\) is a random variable such that \(E(X)=\mu\) and \(V(X)=\sigma^{2}\delta) \leq\) \(\delta^{-2} \sigma^{2}\).
Transcribed Image Text:
Theorem 2.7 (Tchebysheff). Consider a random variable X with E(X) = p and V(X)=02 < . Then P(X - | > d) 8-.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Answered By
Muhammad Sameem
Education is my hobby.My life is full of teaching experience.Sometime I believe God send me in the world for teaching.Of all students believe me that iam a hall mark of exceptional good result.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
-
Consider the Markov Chain, Xn, on the states i = 0, 1, 2, . . . with transition matrix given by pi,i1 = p i = 1, 2, . . . pi,i+1 = 1 p i = 0, 1, . . . p0,0 = p where 0 < p < 1. (i) Show that the...
-
The following question is designed to highlight key concepts from the Loyalty Programs topic article titled, "StarBUCKS, Loyalty, and Breakage" (Nevraumont 2019). Q. Author's position. "If you hire...
-
Type A nerve fibers in humans can conduct nerve impulses at speeds up to 140 m/s. (a) How fast are the nerve impulses in miles per hour? (b) How far (in meters) can the impulses travel in 5.0 ms?
-
Critically consider the purpose of calculating production overhead absorption rates.
-
Determine the maximum eccentric load \(P\) the 2014-T6aluminum-alloy strut can support without causing it either to buckle or yield. The ends of the strut are pin connected. a $150 mm 150 mm 100 mm...
-
The unadjusted trial balance of PS Music as of July 31, 2014, along with the adjustment data for the two months ended July 31, 2014, are shown below. Based upon the adjustment data, the adjusted...
-
What role can technology play in conflict resolution, and what are the most promising technological innovations that can enhance or streamline the conflict resolution process?
-
Let \(\left\{A_{n}ight\}_{n=1}^{\infty}\) be a sequence of events from a \(\sigma\)-field \(\mathcal{F}\) of subsets of a sample space \(\Omega\). Prove that if \(A_{n+1} \subset A_{n}\) for all \(n...
-
Prove Theorem 2.6 (Markov) for the case when \(X\) is a discrete random variable on \(\mathbb{N}\) with probability distribution function \(p(x)\). Theorem 2.6 (Markov). Consider a random variable X...
-
Tribeck Company is a family-owned business in which you own 20% of the common stock and your brothers and sisters own the remaining shares. The employment contract of Tribeck's new president, Jake...
-
Say you took the following bet with a friend. An impartial third party will roll a fair dice. You win $24 if the number 1 comes up, $12 if either 2 or 3 come up, but you will lose $6 if 4 comes up,...
-
Describe how a company can position itself in any one of the positioning spaces identify a benefit to the company and identify one risk of positioning.
-
Suppose that in a week the price of ground beef increases from $4.00 to $5.00 per pound. At the same time, the quantity of ground beef demanded at a typical grocery store decreases from 4,000 to...
-
When should we use this Supply and Demand model in deciding the market price, and the change of the market price? Tell us about your daily experience. Do you think you can solve real-world problems...
-
A study wishes to measure "citizen trust in government" through the number of lawsuits filed against the federal government. Evaluate the measurement validity of this approach.
-
Morello Sporting Goods Corporation makes two types of racquets, tennis and badminton. The company uses the same facility to make both products even though the processes are quite different. The...
-
Juanita owns a home in Richardson, TX. She purchases a Homeowners Policy (HO-3) from Farm State Ins. Co. The policy provides $100,000 in liability coverage (coverage E) and $5,000 in Med Pay coverage...
-
Recall Exercise 7.2.40 on the effect of music on chimpanzees. The researchers also kept track of the total number of aggressive events each chimpanzee displayed and divided these by the total time...
-
Researchers in Australia (Rogers et al., 2019) investigated whether tattoos affect sweat rates when exercising. They recruited 22 subjects, each with a tattoo that was more than 2 months old, larger...
-
Seagulls are notorious for stealing food from people. Will staring at them be a deterrent? Researchers (Goumas et al., 2019) set French fries in a sealed plastic bag on the ground and then crouched...
-
Write a Java program that inputs one integer number from the user, determine the number of individual digits and prints the number of digits and the digits separated from one another by a tab space....
-
Consider the use of caches in multicore systems. a) Given is the following program sequence that is executed by two processors P and P2. Each processor has its own cache into which the variable A can...
-
Anura Hospital is a private hospital first established in late 2009 by a founder named Dr Ahmed. In early 2021, Anura Hospital started to be more known among pregnant women, recruited a lot more...
Study smarter with the SolutionInn App