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Obtain an expression for reliability function

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Reference no: EM131184230

Question 1:

The Weibull hazard rate function λ(t) is given by:

λ(t) = (β/θ)tβ-1

where β is the shape parameter and θ is the scale parameter. Obtain an expression for reliability function.

Assume load and capacity are exponentially and normally distributed, respectively. The mean load is equal to 14,000 psi and the values of the mean and standard deviation associated with the normal distribution are 21,000 and 3,000 psi. respectively. Calculate reliability.

Question 2:

Assume load and capacity are exponentially and normally distributed, respectively. The mean load is equal to 14,000 psi and the values of the mean and standard deviation associated with the normal distribution are 21,000 and 3,000 psi. respectively. Calculate reliability.

Question 3:

The following numbers of bends to failure were recorded for 20 paper clips: 11, 29, 15, 20, 19, 11, 12, 9, 9, 8, 13, 20, 11, 22, 20, 9, 25, 19, 11, and 10.

(a) Make a nonparametric plot of R(t), the reliability.

(b) Attempt to fit your data to Weibull, lognormal and/or normal distributions and determine the parameters.

(c) Briefly discuss your results.

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The document is prepared in word which includes the question on probability calculations. In this assignment we study the reliability analysis and the probability distributions and try to fit the raw data into these distributions. Applicable graphs and calculation are provided in the work and complete work is unique.

Reference no: EM131184230

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