Question: (1) Let Y be a discrete uniform random variable whose PMF has support {yl, ..., Un}. Prove the in variance of Y is given by

(1) Let Y be a discrete uniform random variable whose PMF has support {yl, ..., Un}. Prove the in variance of Y is given by formula ! E (yi - Un)2. i=1

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!

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...

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...

Please explain to me clearly and show how to do the two suppositions in the (question) file. Please take a look at the (notes) file and see the material up to the questions will be needed to answer...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Math230, 2017-18: Workshop, Coursework & Quiz Questions Coursework and Quiz marks The maximum mark obtainable through the handwritten coursework is 15 for CW01CW09. Each week there are two or three...

Detailed answers. Problem 34.\" A spider and a y move along a straight line. At each second, the y moves a unit step to the right or to the left with equal probability p, and stays where it is with...

Hi, help.thanks Problem 31. lConsider four independent rolls of a Bsided die. Let X be the number of la and let Y be the number of is: obtained. \"mat is the joint PMF' of X and Y? Problem 32. D....

NF 18 thankyou 1. (i) Define the terms "sample space" and "random event". Give an example of each. [5 marks] (il) You perform the following experiment: you take a six-sided die, and roll it. If the...

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

You get a summer job with a company which has an in-house operating system called sOs. sOs uses static priority scheduling, supports at most 32 concurrently-executing processes, and works only on...

A person sell two horses for rupees 480 each. On the first horse he gains 25 percent and on the second horse he losses 25 percent. Find the percent gain or loss in the transaction.

A pumper is pumping through 550 feet of single 2.5 hose. The line is laid up a 25 percent grade. What is the back pressure against the pump?

2. In the accounts payable ledger, a suppliers account has a beginning balance of $5,800. Subsequently, a purchase of $1,600 from this supplier is journalized and then posted. What is the balance of...

On 1 March 2007 DB Limited issued R560 000 15% debentures at R98. The debentures were to be redeemed at par in four equal annual payments starting 28 February 2010. Required: Journalise the above...