Let X be a nonnegative random variable, and suppose that E [X] is well defined. Prove Markov?s
Question:
Let X be a nonnegative random variable, and suppose that E [X] is well defined. Prove Markov?s inequality:
Transcribed Image Text:
Pr {X > t} < E [X]/t
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
Answered By
BHIM SEN
I have done my graduation in Electronics. I was always highly interested in learning Physics. So in order to keep the concepts of physics in mind and to increase my knowledge, I had taught Physics to students of class 11th and 12th in a coaching institute in Delhi for 3 years. I did this part time teaching job along with my graduation.
I believe that in order to learn a subject we must teach it so that we come across different aspects and tangents of that topic by answering the doubts of different minds. Teaching is the best way one can learn.
Apart from teaching the course books, I also discussed, with my students, my experiences, failures, and success and the whole journey I travelled across to learn Physics. This helps students in getting motivated and build a student-teacher bond.
I also motivate students to improve their Physical and Mental well being along with providing them academic support.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
Prove Markov's Inequality: If X is any random variable and a > 0, then Pr( |X| a) E( |X| )/a. Show how this inequality can be applied to Theorems 5.2 and 5.3.
-
Let X be a Poisson random variable with mean 20. (a) Use the Markov inequality to obtain an upper bound on p = P{X 26} (b) Use the one-sided Chebyshev inequality to obtain an upper bound on p. (c)...
-
A nonnegative random variable X has moments which are known to be E [X] = 1 , E [X2] = 2 , E [X3] = 5 , E [X4] = 9 , E [X5] = 14 , E [X6] = 33. (a) Show that for any nonnegative random variable, (a)...
-
Suppose x = e y . Compute the value of y, given the following values of x: (a) x = 2 (b) x = 3 (c) x ~ 1.5 (d) x 3 (e) x = .5 (f) x = .002 (g) x = 10 (h) x = 1
-
When the following stereoisomer of 2-bromo-1,3-dimethylcyclohexane is treated with sodium methoxide, no E2 reaction is observed. Explain why this compound cannot undergo the E2 reaction in the chair...
-
An oral contract that should be in writing to be enforceable under the Statute of Frauds may be enforceable if it has been partially performed. (True/False)
-
What are the different types of schemes associated with complex frauds?
-
Carmin Kovach is single and has two children from her previous marriage. Anika, 9, lives with Carmin. Julius, 11, lives with his father, Ray. Carmin pays alimony of $400 per month to Ray. The...
-
W (K$) 14 13 Rich 12 11 10 9 8 7 6 5 Poor W (K$) 14 13 12 11 10 9 8 7 6 5 4 16 18 20 22 24 26 28 17 19 21 L 20 22 24 26 23 25 27 (M) 21 23 25 27 29 31 28 30 32 34 36 L 33 35 37 (M) 1. There are two...
-
A companys investments earn LIBOR minus 0.5%. Explain how it can use the quotes in Table 5.5 to convert them to (a) three (b) five (c) ten-year fixed-rate investments.
-
Professor Rosencrantz flips a fair coin n times, and so does Professor Guildenstern. Show that the probability that they get the same number of heads is ( 2n n )/4 n . ?For Professor Rosencrantz,...
-
Prove that for any collection of events A 1,? A 2, . . . ,A n , Pr {A1 N A2 N.. N An} = Pr {A1} Pr {A2 | A1} Pr{A3 | A1 N A2}... Pr{A, | A1 N A, n..N An-1}
-
In Exercises 916,a. List all possible rational zeros.b. Use synthetic division to test the possible rational zeros and find an actual zero.c. Use the quotient from part (b) to find the remaining...
-
Given the difficulties in accurately predicting the future, is a business plan useful? Provide three reasons for writing one and three reasons for not preparing a plan. What is your conclusion and...
-
Show the result of inserting the values 1, 2, 3, 4, 5, and 6 (in that order) into the B+-tree of Figure 10.17. 101215 18 23 18 19 20 21 22 33 233031 33 45 47 48 48 50 52
-
The EI mass spectrum of lead(II) acetate shows four peak envelopes, each with an isotope pattern characteristic of Pb. The most intense peak in each envelope appears at m/z 326.0, 267.0, 224.0 and...
-
What does nonrecourse financing mean?
-
Why do lenders charge origination fees and loan discount fees?
-
Despite the economy, Liberty Bank has been investigating the possibility of initiating an internship program within our Financial Services Department. I have been appointed as the point person to...
-
Assume you are the accountant for Catalina Industries. John Catalina, the owner of the company, is in a hurry to receive the financial statements for the year ended December 31, 20X1, and asks you...
-
A modem constellation diagram similar to Fig. 2-23 has data points at the following coordinates: (1, 1), (1, 1), (1, 1), and (1, 1). How many bps can a modem with these parameters achieve at 1200...
-
What is the maximum bit rate achievable in a V.32 standard modem if the baud rate is 1200 and no error correction is used?
-
What is the percent overhead on a T1 carrier? That is, what percent of the 1.544 Mbps are not delivered to the end user? How does it relate to the percent overhead in OC-1 or OC-768 lines?
-
Use an example of how you would use the recommendations for improving service quality prepare something similar using the recommendations listed. How would you recommend a plan to improve service...
-
A 10.0 L weather balloon is launched from ground level where the temperature was 230C and the pressure was 745 mmHg. Higher in the atmosphere, the balloon's volume became 15.0L at a pressure of...
-
1. Imagine that you need to determine the resistivity of a certain metal. You have several pieces of wire that are made from this material, all with a diameter of 0.361 mm. You make very precise...
Study smarter with the SolutionInn App