Question: Problem 2: Let $Y_{1}, ldots, Y_{n}$ be i.i.d. Bernoulli $(p)$ random variables. Prove that $$ frac{1}{n} sum_{i=1}^{n} Y_{i}^{2} stackrel{p}{ ightarrow} p. $$ SP.AS. 1135

$Problem 2: Let $Y_{1}, \ldots, Y_{n}$ be i.i.d. Bernoulli $(p)$ random$

Problem 2: Let $Y_{1}, \ldots, Y_{n}$ be i.i.d. Bernoulli $(p)$ random variables. Prove that $$ \frac{1}{n} \sum_{i=1}^{n} Y_{i}^{2} \stackrel{p}{ ightarrow} p. $$ SP.AS. 1135

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