Page 263, 4.4.5.* Let Y₁ < Y₂ < Y3 < Y4

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Page 263, 4.4.5.

**Page 263, 4.4.5.** Let \( Y_1 < Y_2 < Y_3 < Y_4 < Y_5 \) be the order statistics of a random sample of size \( n = 5 \) from the distribution having the probability density function (pdf) \( f(x) = 3e^{-3x} \), \( 0 < x < \infty \), zero elsewhere. Find \( P(Y_5 \ge 2) \).
Transcribed Image Text:**Page 263, 4.4.5.** Let \( Y_1 < Y_2 < Y_3 < Y_4 < Y_5 \) be the order statistics of a random sample of size \( n = 5 \) from the distribution having the probability density function (pdf) \( f(x) = 3e^{-3x} \), \( 0 < x < \infty \), zero elsewhere. Find \( P(Y_5 \ge 2) \).
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