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Q47Section C (Section C)47 of 60

WLLN for squares of U(0,3)

Let {Xn}n≥1\{X_{n}\}_{n\ge 1} be a sequence of independent and identically distributed random variables having U(0,3)U(0,3) distribution. If Yn=1n∑i=1nXi2Y_{n}=\dfrac{1}{n}\sum_{i=1}^{n}X_{i}^{2}, n≥1n\ge 1, then {Yn}n≥1\{Y_{n}\}_{n\ge 1} converges in probability to __________ (in integer)

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