Find the mean and variance of v

Assignment Help Mathematics
Reference no: EM13204059

A fair, six-sided dice is rolled two times. Let X1 and X2 denote the number of points showing on the ¯rst and second rolls, respectively. Let U = X1+X2 and V = X1¡X2.

(a) Find the mean and variance of V .
(b) Find the covariance of U and V .
(c) What is the probability that X2 < X1?
(d) What is the probability that U = V ?

 

Reference no: EM13204059

Questions Cloud

What is the quantity of labour supplied : a labour market in which the supply curve is given by: w= 10 + Ls (where w is the wage rate and Ls is the quantity of labour supplied). Further, assume that the demand for labour is given by w = 100 - Ld (where w is the wage rate and Ld is the qua..
What is the least number of cups of lemonade they need : Carolyn and kim are selling lemonade this fall. It costs $0.10 to make each cup of lemonade. They are going to sell each cup of lemonade for $0.30. What is the least number of cups of lemonade they need to sell in order to collect $10.00 more than..
Write all solutions to equation as general superposition : write all solutions to this equation as a general superposition of a pair of vectors v1 and v2.
Explain why is it important to simplify radical expressions : Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions?
Find the mean and variance of v : A fair, six-sided dice is rolled two times. Let X1 and X2 denote the number of points showing on the ¯rst and second rolls, respectively. Let U = X1+X2 and V = X1¡X2.
What is the tax revenue raised and deadweight loss : Consider a market with the following supply and demand curves: Qd= 100-4p Qs=p-10 Suppose the government imposes on the buyer a tax of 5 dollars for each unit sold. What is the tax revenue raised and deadweight loss following the imposition of the..
How far is the spacecraft from the earth in miles : The Voyager 1 spacecraft launched in 1977 by NASA as reached the edge of the solar system. Traveling at the speed of light, 300,000 km/sec, it takes approximately 13 hours for the signal transmitted by the spacecraft to reach the Earth. How far is..
How many possible different classifications are there : Students are classified according to eye color (blue, brown, green), gender (male, female), and major (chemistry, mathematics, physics, business). How many possible different classifications are there? Use a tree diagram.
Initial cash flow for expansion project : Sailcloth & More currently produces boat sails and is considering expanding its operations to include awnings for homes and travel trailers. The company owns land beside its current manufacturing facility that could be used for the expansion.

Reviews

Write a Review

Mathematics Questions & Answers

  Compute dice probabilities solution set

Compute Dice Probabilities Solution Set, I roll two dice. Work out what the probability of achieving a 5 on either die

  Use a two sided test at the alpha level

Use a two sided test at the alpha level.

  Evaluate the lung capacity in liters

The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity,in liters,of a female with height H,in centimeters,and age a,in years

  How many top three outcomes are there

The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?

  Idempotent ring

In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.

  Math problem-ending balance-interest and pay out

If I have a 10,000 death benefit at work that is left on deposit for 7 years at an annual interest rate of 5%. The balance after 7 years is what? and then is going to be paid out in 120 equal payments.

  How tall is the building

The distance between the pole and the building is , and the pole casts a shadow that is long. How tall is the building? Round your answer to the nearest foot.

  How many bricks will be required to build a house

How many bricks will be required to build a house whose dimension is 60ft by 48 ft by 8 ft

  How many gallons of gas would she need to drive miles

Jessica drove miles using gallons of gas. At this rate, how many gallons of gas would she need to drive miles?

  Find the demand function

Find the demand function , where is the number of the television sets sold per week, assuming that is linear.

  Find the maxiumum and minimum amounts spent per week

if a one person household spends an average of $62 per week on groceries, find the maxiumum and minimum amounts spent per week for the middle 50% of one- person households. assume the standard deviation is $10 and the veriable is normally distribu..

  Find the third quartile q3

assume that adults have iq scores that are normally distributed with a mean of 102 and a standard deviation of 15. find the third quartile Q3 which is the iq score separating the top 25% from the others.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd