Let X1,X2 be a random sample of size n = 2 from a

Chapter 5, Problem 9E

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QUESTION:

Let \(X_1, X_2\) be a random sample of size n = 2 from a distribution with pdf \(f(x) = 3x^2, 0 < x < 1\). Determine

(a) \(P(\text{max}X_i < 3/4) = P(X_1 < 3/4, X_2 < 3/4)\).

(b) The mean and the variance of \(Y = X_1 + X_2\).

Questions & Answers

QUESTION:

Let \(X_1, X_2\) be a random sample of size n = 2 from a distribution with pdf \(f(x) = 3x^2, 0 < x < 1\). Determine

(a) \(P(\text{max}X_i < 3/4) = P(X_1 < 3/4, X_2 < 3/4)\).

(b) The mean and the variance of \(Y = X_1 + X_2\).

ANSWER:

Step 1 of 4

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