Question

A hydraulic system is comprised of five components having the following constant fail-ure rates (times are in days): $\lambda_1 = 0.001$, $\lambda_2 = 0.005$, $\lambda_3 = 0.0007$, $\lambda_4 = 0.0025$, and $\lambda_5 = 0.00001$. (a) Find the system MTTF and standard deviation. (b) Find the system design life if a 0.99 reliability is desired.

          A hydraulic system is comprised of five components having the following constant fail-ure rates (times are in days): $\lambda_1 = 0.001$, $\lambda_2 = 0.005$, $\lambda_3 = 0.0007$, $\lambda_4 = 0.0025$, and $\lambda_5 = 0.00001$.
(a) Find the system MTTF and standard deviation.
(b) Find the system design life if a 0.99 reliability is desired.

A hydraulic system is comprised of five components having the following constant fail-ure rates (times are in days): λ1 = 0.001, λ2 = 0.005, λ3 = 0.0007, λ4 = 0.0025, and λ5 = 0.00001.
(a) Find the system MTTF and standard deviation.
(b) Find the system design life if a 0.99 reliability is desired.

Added by -Scar B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/26/2023

Step 1

Step 1: The system MTTF is the reciprocal of the sum of the failure rates. Show more…

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A hydraulic system is comprised of five components having the following constant fail- ure rates (times are in days): λ₁ = 0.001, λ₂ = 0.005, λ₃ = 0.0007, λ₄ = 0.0025, and λ₅ = 0.00001. (a) Find the system MTTF and standard deviation. (b) Find the system design life if a 0.99 reliability is desired.