Q25Section I (Objective (Q1–Q80))25 of 80

Distribution Theory — expectation of a product involving T and mean squared

Let $X_1,X_2,X_3,X_4,X_5$ be a random sample of size 5 from a population having standard normal distribution. If $\bar X=\frac15\sum_{i=1}^5X_i$ and $T=\sum_{i=1}^5(X_i-\bar X)^2$ then $E(T^2\bar X^2)$ is equal to:

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