Probability distribution for uncertain quantities

Assignment Help Basic Statistics

Reference no: EM13995711

Consider the following joint probability distribution for uncertain quantities X and Y:

P(X = -2 and Y = 2) =

0.2 P(X= -l and Y = 1)

= 0.2 P(X = 0 and Y = 0)

= 0.2 P(X =1 and Y = 1) =

0.2 P(X = 2 and Y = 2) = 0.2

a. Calculate the covariance and correlation between X and Y.

b. Calculate P(Y = 2), P(Y = 2 | X = -2), P(Y = 2| X = 2), P(Y = 2| X = 0).

c. Calculate P(X = -2), P(X = -21 F = 2), P(X = -21F = 0).

d. Are X and Y dependent or independent? How would you describe the relationship be- tween X and Y?

Reference no: EM13995711

Questions Cloud

Variance of the breakdown cost : What is the company's expected cost for computer breakdowns and the variance of the breakdown cost? What assumption must you make to find the variance? Is this a reason- able assumption?

How much mass does the trailer have : If you estimate the coefficient of friction between the tractor and the road is 0.85 and the kinetic coefficients of friction between the trailer and road is 0.4. How much mass does the trailer have?

Independent of the sales for the others : Suppose that a company produces three different products. The sales for each product are independent of the sales for the others. The information for these products is given below:

Probability statements relating hemline height : Write probability statements relating hemline height, stock market prices, and "adven- turesomeness" that correspond to the following description of these relationships:

Probability distribution for uncertain quantities : Consider the following joint probability distribution for uncertain quantities X and Y:

Calculate the magnitude of the net force on each particle : Three positive particles of charges Q = 29.2 A??1C are located at the corners of an equilateral triangle of side L = 15.4 cm, as seen in the figure below. Calculate the magnitude of the net force on each particle.

How would your answers to requirements : How would your answers to requirements 1-5 differ if management had the intent and ability to hold the investments until maturity?

What kinds of information or resources would you need : What we believe and value, how we behave and how we view ourselves and others are strongly influenced by the culture in which we live.

Different kinds of plastic exist : Of course, many different kinds of plastic exist. Spend 10 minutes writing down pos- sible ways to recycle one-gallon plastic milk jugs. You can assume that the milk jugs are received rinsed out and reasonably clean, but not sterile. Look at your ..

User Account

All Pages