The easiest way to set up integral ranges is to actually draw a diagram of the domain of the function. Note that the domain is bounded by the square 0 <= y_1 <= 1, 0 <= y_2 <=1. So let's start by drawing that. Then because there's an additional constraint that y_1 <= y_2, you'll want to draw a diagonal line y_1 = y_2, and shade the upper triangle. (If you're ever doubtful regarding which region to shade, pick a random point in each region, and test to see if that point satisfies ...
Solution Summary
The easiest way to set up integral ranges is to actually draw a diagram of the domain of the function. From your graph, determine whether the region of integration is simple. If not, methodically divide the region into parts that are simple.
$2.19
Similar Posting
Uniform Distribution
I cannot prove the solution given for the following Conditional Joint Uniform Distribution. I have a fairly detailed answer provided by my professor, but I cannot do the Integration to prove.
Could you please provide a detailed step by step integration to backup the given answer. I am sure I am missing a basic either Uniform observation OR just not setting up the Uniform Integrals properly.
... problem is very simple and you don't want to go for complicated integration. ... Hence the joint probability density function of ( X 1 , X 2 ) is given by(using the ...
... The joint distribution function (jdf) is: (1.1) The ... of the unit circle, the integration limits are thus: (1.3) The conditional probability density is given ...
Double Integration : Joint PDF, Marginal and Conditional Densities. ... Y are continuous random variables with the joint probability density function k(x+y ...
Probability and conditional distributions ... l)y) be 9. Let f(x, y) ( ( the joint pili of ... whenever x and y simultaneously included in the integration) The marginal ...
... was a unique event with an extremely low probability. ... wall being contiguous with the material joining the two ... premier example of the integration of lower level ...
... by assigning individuals to a joint task. ... in a group, increasing the probability of innovation ... of disagreements or conflict, social integration enables group ...
... with people from headquarters through joint projects, meetings ... emerging motivations' for greater IHRM integration in MNCs. ... he knows that the probability is high ...
... be easily solved using the conditional probability theorem that ... 1)! out of the integral, and joining t and t ... This can be done using integration by parts several ...
