Suppose x_1,x_2,x_3,x_4 are non-negative Independent and identically-distributed random variables, is it true that [tex](adsbygoogle = window.adsbygoogle || []).push({});

P\left(x_{1}+x_{2}+x_{3}+x_{4}<2\delta\right)\leq2P\left(x_{1}<\delta\right)[/tex] for any [tex]\delta>0[/tex]?

Any answer or suggestion will be highly appreciated!

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# A probabilistic inequality

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