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.