Suppose that the lifetime of a component (in hours), X, is modeled with a Weibull distribution...
Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with a = 0.6. and λ = 1/4000. Determine the value for P(X > 5,961 | X > 3500) i.e Probability of X > 5,961 given tha X is greater than 3500. Please enter the answer to 3 decimal places.
Suppose that X has a Weibull distribution with B = 0.5 and 8 = 100 hours. Determine the following. Round the answers to 3 decimal places. (a) P(X < 10000) = (b) P(X > 5000) =
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β = 3.Compute the following. (Round your answers to three decimal places.)
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. What is the expected lifetime of the product? b. What is the standard deviation of the product? c. The product costs $15,543 dollars to produce, but is expected to save $1,115 in costs for each year that it functions as advertised. Considering the initial cost, what is the expected savings in costs for this product? d. What is the...
Question 4 Lifetime of a certain component can be represented by 2 parameter Weibull distribution with a-12000 and p Find the mean time to failure and median life of this component.
Problem 10 (9 points) The lifetime (in hours) of a replacement part for a machine is modeled as having a Weibull distribution with parameters a- V2 and ß 20. 2pts i. What are the mean and standard deviation of this Weibull distribution? σ= (round to nearest integer) 2pts . Determine the probability that a single replacement part provides over 25 hours of operation for the machine. P(X > 25) iii. We currently have a supply of 49 replacement parts. Use...
The lifetime of a product can be modeled with a Weibull distribution with δ = 22 and β = 3. a. What is the expected lifetime of the product? b. What is the standard deviation of the product? c. The product costs $15,543 dollars to produce, but is expected to save $1,115 in costs for each year that it functions as advertised. Considering the initial cost, what is the expected savings in costs for this product? d. What is the...
Suppose X and Y have a bivariate normal distribution with ox = 0.04, oy = 0.08, Mx = 3.00, My = 7.70, and p = 0. Determine the following. Round your answers to three decimal places (e.g. 98.765). (a) P (2.95< X < 3.05) = (b) P (7.60 <Y < 7.80) = (c) P (2.95 < X <3.05,7.60 <Y < 7.80) =
An article proposes the Weibull distribution with a 1.817 and B 0.883 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution? (Round...
An article proposes the Weibull distribution with a at a certain site 1.897 and B 0.813 as a model for 1-hour significant wave height (m) (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3281 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) (c) What is the median of the wave-height distribution?...