Let $X$ and $Y$ be two independent random variables such that
$$X\sim U(0,2); Y\sim(1,3)$$
Then $P(X
Two uniform distribution with same PDF. Find $P(X
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probability
probability-distributions
2 Answers
2
If $X<1$ or $Y>2$ then certainly $X
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0How is the probability of X<1 or Y>2 = 3/4? – 2017-02-03
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0$P(X<1)=P(Y>2)=1/2$, and these events are independent. – 2017-02-03
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If $X$ and $Y$ are independent, the joint distribution of $(X,Y)$ is the product of the marginal distributions. Hence,
$\mathbb{P}(X