Let U and V be independent, continuous uniform random variables on the interval [1; 5]. Find P[min{U; V} < 2 j max{U; V } > 2]. So I want to find P{[max >2] = 1-P[max<=2]. I am told that this is equal to 1-P[U<=2, V<=2]. Then 1-(1/4)(1/4). I do not understand why it is (1/4) and why is it not (2/5) I think it should be (2/5) because 1 and 2 fall in the interval out of the 5 numbers. Can somebody explain how the solution has 1/4.
continuous random variable
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