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X and Y are twO independent uniformly distributed random variables in [0,1]. Then P(Y _ X < h) =3 P(Y - X < h) = } XP(Y _ X < H) = } none of the previous s...

Question

X and Y are twO independent uniformly distributed random variables in [0,1]. Then P(Y _ X < h) =3 P(Y - X < h) = } XP(Y _ X < H) = } none of the previous statements is correct

X and Y are twO independent uniformly distributed random variables in [0,1]. Then P(Y _ X < h) =3 P(Y - X < h) = } XP(Y _ X < H) = } none of the previous statements is correct



Answers

Recall that a random variable $X$ is said to be uniformly distributed over the interval $[a, b]$ if it has probability density function $$f(x)=\frac{1}{b-a} \quad(a \leq x \leq b)$$ Find $E(X)$ and $V(X),$ and interpret your result.


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