Solution-Prove that if x is a discrete random variable

Prove that if x is a discrete random variable

Reference no: EM13954249

1. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).

b) Use part(a) to prove that if X and Y are discrete random variable defined on the same finite sample space S, then we have E(X + Y) = E(X) + E(Y).

2. Use the result of problem 1 above to show that the average number of heads when a fair coin is flipped n times is equal to n/2. Hint: Let H_i be the number of heads on the ith flip. {Note: compare this to the "brute-force" computation to get an interesting combinatorial identity!]

Reference no: EM13954249

Questions Cloud

What is the half-life of the isotope in seconds : A radioactive isotope has a decay constant lambda = 0.0582 s-1. What is the half-life of the isotope in seconds? What fraction of the activity of a sample of the isotope will remain after 30 seconds?

Problem regarding the closing entries for nordstrom : The following accounts appear on Nordstrom's 2011 financial statements as reported in its Form 10-K for the fiscal year ended January 28, 2012. The accounts are listed in alphabetical order, and the balance in each account is the normal balance fo..

What is the optimal number of days between orders : Joe's Camera shop has a favorite model that has annual sales of 145. The cost to place an order to replenish inventory is $25 per order, and annual inventory costs are $20. Assume the store is open 350 days per year. What is the optimal order size? W..

Main components of the pure food and drug act : What are the main components of the Pure Food and Drug Act of 1906? How was this law attempting to protect the public? What are the main components of the Sherley Amendment: How was this law attempting to protect the public?

Prove that if x is a discrete random variable : Use the result of problem 1 above to show that the average number of heads when a fair coin is flipped n times is equal to n/2.

Determine the EOQ and total cost of ordering at this value : Electronic Village is open 325 days a year and stocks and sells a particular brand of personal computer. It cost the store $350 each time it places an order with the manufacturer for the personal computer which are valued at $950. Determine the EOQ a..

Transactional leadership approach : The previous manager used a transactional leadership approach, which has been relatively ineffective. Evaluate one leadership style and describe which you would take. An experienced executive assistant discovered that she made the same amount of mone..

Use non-sister chromatids to demonstrate crossing : I have attached two labs with corresponding post lab work sheet for you to complete. 1. Why are chromosomes important?

How many customers would be expected to have a balance below : If you were to draw another random sample of 20 observations from the same population, what is the probability that you would find a larger sample mean than the value you calculated in question 1?

User Account

All Pages

Prove that if x is a discrete random variable

Reference no: EM13954249

Reference no: EM13954249

Questions Cloud

Reviews

Write a Review

Basic Statistics Questions & Answers

What is the null hypothesis assume a directional hypothesis

What can you conclude about smoking and depression

Real world statistics example

What is probability that he or she will be a problem gambler

How to conclude that hypothesis should be rejected

Confidence interval for the difference in two proportions

What is the null hypothesis for study

Find hypothesis that probability the champion is ucla

The heights of people of the same sex and similar ages

Question on multiple regression statistics

Construct scatter plot in regression using spss

What types business problems use anova in research issues

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT