Solved: How to set up the integral ranges, Basic Statistics

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How to set up the integral ranges

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Q: Provide an example of how to set up the integral ranges to find a particular probability area.

Let Y_1 and Y_2 have joint probability density function given by

f(y_1,y_2) = 6(1-y_2) if 0 <= y_1 <= y_2 <= 1
0 elsewhere

a) Find P(Y_1 <= 3/4 , Y_2 >= 1/2)

b) Find P(Y_1 <= 3/4 , Y_2 <= 3/4)

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