Chebyshevs inequality states that for any random variable X with mean and variance 2 ,
Question:
Chebyshev’s inequality states that for any random variable X with mean μ and variance σ2, and for any positive number k, P(|X − μ| ≥ kσ) ≤ 1/k2. Let X ∼ N(μ, σ2). Compute P(|X −μ| ≥ kσ) for the values k = 1, 2, and 3. Are the actual probabilities close to the Chebyshev bound of 1/k2, or are they much smaller?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
The actual probabilitie...View the full answer
Answered By
Ali Khawaja
my expertise are as follows: financial accounting : - journal entries - financial statements including balance sheet, profit & loss account, cash flow statement & statement of changes in equity -consolidated statement of financial position. -ratio analysis -depreciation methods -accounting concepts -understanding and application of all international financial reporting standards (ifrs) -international accounting standards (ias) -etc business analysis : -business strategy -strategic choices -business processes -e-business -e-marketing -project management -finance -hrm financial management : -project appraisal -capital budgeting -net present value (npv) -internal rate of return (irr) -net present value(npv) -payback period -strategic position -strategic choices -information technology -project management -finance -human resource management auditing: -internal audit -external audit -substantive procedures -analytic procedures -designing and assessment of internal controls -developing the flow charts & data flow diagrams -audit reports -engagement letter -materiality economics: -micro -macro -game theory -econometric -mathematical application in economics -empirical macroeconomics -international trade -international political economy -monetary theory and policy -public economics ,business law, and all regarding commerce
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A result called Chebyshev's inequality states that for any probability distribution of an rv X and any number k that is at least 1, P(|X - | > k) < 1/k2. In words, the probability that the value of X...
-
Refer to Chebyshev's inequality given in Exercise 44. Calculate P( |X - | > k) for k = 2 and k = 3 when X~ Bin (20, .5), and compare to the corresponding upper bound. Repeat for X~Bin (20, .75). In...
-
Prove that for a random variable X with mean X , Where n is any positive integer. Pr(|X- u > e) < EIX- u"]
-
Two franchising experts recently debated the issue of whether new college graduates should consider franchising as a pathway to entrepreneurship. Jeff Elgin said recent college graduates are not...
-
Lansang Building Supplies has recently been plagued with declining sales. The rate of inventory turnover has dropped, and some of the company's merchandise is gathering dust. At the same time,...
-
The given vectors form a basis for a subspace W of R 3 or R 4 . Apply the Gram-Schmidt Process to obtain an orthogonal basis for W. X1 ,X2 -2 %| X 1.
-
The accounting rate of return on the initial investment presented in question 4 is: a. 0.125 b. 0.156 C. 0.219 d. 0.375
-
Water enters a tube at 27C with a flow rate of 450 kg/h. The heat transfer from the tube wall to the fluid is given as q' s (W/m) = a x, where the coefficient a is 20 W/m 2 and x (m) is the axial...
-
6. How would 1 L of a 10% solution of chlorine bleach be prepared?
-
Perform particle motion simulation in framework of particle-in-cell approach. Calculate the trajectory of an electron using the parameters given in Table.1. All other components are zero. X...
-
Water flows through a 2.5-cm-diameter hose at 3.0 m/s. How long, in minutes, will it take to fill a 600 L childs wading pool?
-
A 1.0-cm-diameter pipe widens to 2.0 cm, then narrows to 5.0 mm. Liquid flows through the first segment at a speed of 4.0 m/s. a. What is the speed in the second and third segments? b. What is the...
-
Survival actions a. result in recovery that cannot be reached by creditors. b. can result in a windfall to distant relatives. c. are barred if the decedent failed to file an action until after the...
-
7. Examine the continuity of the following functions (a) f(x) = (3x-2, x <2 at x = 2. x+2,x2 (b) f(x) = x ,x=0 at x=0. 2, x = 0.
-
(a) What impulse must be imparted to a golf ball of mass 0.044kg to give it a velocity of 52.2m/s? (b) If the golf club is in contact with the ball as it is accelerated over an interval of 1.01cm,...
-
Sherritt's five-year borrowing rate is 43.171% and the Government of Canada is 1.47%. Which would you prefer? $500 from Sherritt paid today or a promise that the firm will pay you $800 in five years?...
-
A constant voltage of 3.00 V has been observed over a certain time interval across a 2.20 H inductor. The current through the inductor, measured as 1.00 A at the beginning of the time interval, was...
-
Bill 21 affirms that Qubec is "a lay State" (s. 1), and reaffirms the laicity of the State based on the four following foundational principles (s. 2): The separation of State and religions; The...
-
The Chocolate Baker specializes in chocolate baked goods. The firm has long assessed the profitability of a product line by comparing revenues to the cost of goods sold. However, Barry White, the...
-
If (x) 0 on the interval [a, b], the definite integral gives the exact area under the curve between x = a and x = b.
-
Let V be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) = 0.15, P(W) = 0.05, and P(V W) = 0.17. a. Find the probability that the...
-
Refer to Exercise 12. Let Z = X + Y represent the total number of repairs needed. a. Find Z . b. Find Z . c. Find P(Z = 2). Refer to Exercise 12. y 1 2 3 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2...
-
In the article An Investigation of the CaCO 3 CaF 2 K 2 SiO 3 SiO 2 Fe Flux System Using the Submerged Arc Welding Process on HSLA-100 and AISI-1018 Steels (G. Fredrickson, M.S. thesis, Colorado...
-
ABC Corp., a US corporation, purchased goods on credit from a British company on April 8, 2007. ABC made a payment of 10,000FC on May 8, 2007. The exchange rate was $1= FC .50 on April 8 and $1= FC...
-
60. You study the financial statements of the financing arm of Ford Motor Company, and you believe the coming recession will be deeper than management estimates and consequently believe that the bad...
-
SHORT ANSWER [40 Marks] 1. Name five items that can be found on the Lists menu. 2. What does the abbreviation C.O.G.S stand for? 3. Which report will show the quantity on hand and cost of each item...
Study smarter with the SolutionInn App