Weibull distributed random variable

Reference no: EM131001253

A ?uidized bed reactor through which chlorine gas ?ows has a temperature probe that fails periodically due to corrosion. The length of time (in days) during which the temperature probe functions is known to be a Weibull distributed random variable X, with parameters β = 10; ζ = 2.

(i) Determine the number of days each probe is expected to last.

(ii) If the reactor operator wishes to run a product campaign that lasts continuously for 20 days, determine the probability of running this campaign without having to replace the temperature probe.

(iii) What is the probability that the probe will function for anywhere between 10 and 15 days?

(iv) What is the probability that the probe will fail on or before the 10th day?

Reference no: EM131001253

Questions Cloud

Economy production is characterized by neoclassical function : In an economy production is characterized by the neoclassical function =K.5N.5. Suppose it has a saving rate of .1, a population growth rate of .02, and an average depreciation rate of .03. At the steady-state value of k, is there more or less capita..

How should magrath account for and report the accounts : What are the two basic approaches to estimating uncollectible accounts under the allowance method? What is the rationale for each approach?

Endogenous growth models differ from neoclassical models : What is endogenous growth? How do endogenous growth models differ from the neoclassical models of growth? How do the implications of an increase in saving with regard to both the level and the growth rate of output differ between the neoclassical gro..

Suppose population growth is endogenous : Suppose population growth is endogenous and therefore, variable (like what we saw in the class): What does the investment requirement line look like for this model? Characterize the set of equilibria, being sure to discuss their stability or lack the..

Weibull distributed random variable : A ?uidized bed reactor through which chlorine gas ?ows has a temperature probe that fails periodically due to corrosion. The length of time (in days) during which the temperature probe functions is known to be a Weibull distributed random variable..

Explain why the classical supply curve is vertical : Explain why the classical supply curve is vertical. What are the mechanisms that ensure continued full employment of labor in the classical case? How does the Keynesian aggregate supply curve differ from the classical one? Is one of these specificati..

You have been hired as a consultant by a parts : Draft a one-page response in the form of a memo to the president in support of your recommendation for the company to use the allowance method.

Explain how the aggregate supply and phillips curves : Explain how the aggregate supply and Phillips curves are related to each other. Can any information be derived from one that cannot be derived from the other? How do short- and long-term Phillips curves differ? (Hint: In the long run, we return to a ..

What is the maximum angle reached by the pendulum : A pendulum of mass m=0.3 kg and length l = 1m is starting from rest at an angle θ(max) = 22 degrees. at the lowest point of the trajectory, it encounters a piece of clay of mass m = 0.1kg that sticks to the bob. What is the maximum angle reached by..

User Account

All Pages