Question: a) Write Chebyshevs inequality both for discrete and continuous random variables without proof. b) When Chebyshevs inequality doesnt give any information about the spread of

a) Write Chebyshev’s inequality both for discrete and continuous random variables without proof.

b) When Chebyshev’s inequality doesn’t give any information about the spread of a random variable?

c) Compare Chebyshev’s inequality with 68-95-99.7 rule in the case of normally distributed random variable. Which one gives stronger result in this case?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

How do discrete and continuous random variables differ?

1. Identifying Discrete and Continuous Random Variables. In Exercise 6, identify the given values as a discrete random variable, continuous random variable, or not a random variable. a. Eye colors of...

A random variable X is normally distributed with a mean of 100 and a variance of 100 and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables...

Hi, math experts. I am recently learning from Pattern Recognition and Machine Learning, Chris Bishop. Please provide a detailed explainations briefly for the following sections. 1. Section 1.2.2...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

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...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

On 1/1/22 Big Co acquired 60% of Little Co voting stock for $300,000; the fair value of the non-controlling interest was $200,000 on that date. Little's book value on that date was $350,000. Little...

3. (10 points) Find the length of the part of the curve 2 R(t) = t + + 1 t F between the origin and the point (1, 2/2, 1/3).

0 Skills and Applications Writing an Exponential Equation In Exercises 7-10, write the logarithmic equation in exponential form. For example, the exponential form of log, 25 = 2 is 5 = 25. 7. log4 16...

In 6-8 find the velocity v(t) and position s(t) at time t> 0 of a material particle that moves without friction along a straight line, when its acceleration, initial position, and initial velocity...

A die is rolled and value is recorded. The table shows the results of 20 rolls. 1 5 5 2 5 1 5 65 2 LQ 5 LO 5 2462 6 33 5 2 2 (a) Complete the probability distribution table. X P(X) 1

Uncle Cosmo plans to build a factory. It will cost $ 1 , 0 0 0 , 0 0 0 . He expects the after - tax cash inflows to be $ 2 3 0 , 0 0 0 annually for 6 years, after which he plans to scrap the...

How to write down the SQL for below? Imagine you're creating a movie database to store information about your favorite films. Part - 1 : Create a table named movies with the following columns: Movie...

The 2017 financial statements of the U.S. government are available at: https://www.fiscal.treasury.gov/fsreports/rpt/finrep/fr/fr_index.htm Use these to answer the following questions: a. Statement...

Nausea and vomiting after surgery are common side effects of anesthesia and painkillers. Six different drugs, varying in cost, were compared for their effectiveness in preventing nausea and vomiting...

What is a point estimator of a population parameter?

In Frontiers in Automobile and Mechanical Engineering (Nov. 2010), a model was developed to predict the thrust force when drilling into a hybrid metal composite. Three variables related to thrust...

A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05...

A recent national survey found that high school students watched an average (mean) of 6.8 DVDs per month with a population standard deviation of 1.8. The distribution of DVDs watched per month...

Wildcat Plumbing Supply has served the plumbing needs of Southwest Arizona for more than 40 years. The company was founded by Mr. Terrence St. Julian and is run today by his son Cory. The company has...