The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and B = 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 ≤ 3) 0.632 (c) P(0.5 ≤ x ≤ 3) 0.527 X

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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
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The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and
B = 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 ≤ 3)
0.632
(c) P(0.5 ≤ x ≤ 3)
0.527
X
Transcribed Image Text:The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and B = 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 ≤ 3) 0.632 (c) P(0.5 ≤ x ≤ 3) 0.527 X
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