The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and ß = 3.+ Compute the following. (Round your answers to three decimal places.)(a) E(X) and V(X)E(X) = 2.659V(X) = 1.931(b) P(X ≤ 5)0.938P(2 ≤ x ≤ 5)x(c)0.306

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Answered: The lifetime X (in hundreds of hours)…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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The lifetime X (in hundreds of hours) of a certain type of vacuum tube has Weibull distribution with parameters a = 2 and ß = 3.+ Compute the following. (Round your answers to three decimal places.) (a) E(X) and V(X) E(X) = 2.659 V(X) = 1.931 (b) P(X ≤ 5) 0.938 (c) P(2 ≤ x ≤ 5) 0.306 x ✓