Answer: Let Y1, Y2, . . . , Yn be independent random
Chapter 9, Problem 30E(choose chapter or problem)
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) be independent random variables, each with probability density function
\(f(y)=\left\{\begin{array}{ll} 3 y^{2}, & 0 \leq y \leq 1 \\ 0, & \text { elsewhere } \end{array}\right.\)
Show that \(\bar{Y}\) converges in probability to some constant and find the constant.
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