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The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e-0:01t for time t > 0. An electrical system consists of four such components. The system continues to function if at least one component is still 'alive' and the system is repaired (by replacing all the components) when all components have expired.
(a) Find the probability density function (PDF) of T, the lifetime of a component in the system.
(b) Show that this is a valid PDF.
(c) Find the reliability function for the system.
(d) Find the probability that the system lasts for longer than 1 year (365 days).
(e) Simulate the lifetime of the system.
(f) Set the random number seed using set.seed(1). Then simulate 20 lifetimes for the system. Calculate the sample mean lifetime of the system using your 20 simulated values.
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Fenn Museum, a nongovernmental not-for-profit organization, had the following balances in its statement of functional expenses: Education $300,000 Fundraising 250,000 Management an
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The probability a computer will boot is .08. What is the least number needed so that the probability at least two will boot is greater than .99?
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19. Welnor Industrial Gas Corporation supplies acetylene and other compressed gases to industry. Data regarding the store''s operations follow: • Sales are budgeted at $320,000 fo
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Do you think the change towards IFRS is a good idea? Manager 1: This change is definitely going to be a very positive change. There are no doubt a lot of advantages that IFRS
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