Independent Variables: A point is selected at random from the rectangle 0<x<a, 0<y<b.

[mario99]

A point is selected at random from the rectangle

[imath]R = \{(x,y) \in \bold{R}^2: 0 < x < a, 0 < y < b \}[/imath]

Let [imath]X[/imath] be the x-coordinate and [imath]Y[/imath] be the y-coordinate of the point selected. Determine if [imath]X[/imath] and [imath]Y[/imath] are independent random variables.

 

[topsquark]

A point is selected at random from the rectangle

[imath]R = \{(x,y) \in \bold{R}^2: 0 < x < a, 0 < y < b \}[/imath]

Let [imath]X[/imath] be the x-coordinate and [imath]Y[/imath] be the y-coordinate of the point selected. Determine if [imath]X[/imath] and [imath]Y[/imath] are independent random variables.

All these questions and still not a single scrap of your own work....

Define what independent random variables are.

-Dan

 

[Steven G]

Last time I requested that if you continue to post without showing any work that you be banned from the forum.
This time I just requested that you be banned from this forum.
Bye bye.

 

[khansaheb]

A point is selected at random from the rectangle

[imath]R = \{(x,y) \in \bold{R}^2: 0 < x < a, 0 < y < b \}[/imath]

Let [imath]X[/imath] be the x-coordinate and [imath]Y[/imath] be the y-coordinate of the point selected. Determine if [imath]X[/imath] and [imath]Y[/imath] are independent random variables.

What are the properties of independent random variable?

What are the variables) of this problem?

Now from the given information in the problem, set up the equation.

Please show us what you have tried and exactly where you are stuck.

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