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.

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... 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 ...

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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 ...

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