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1. 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.
can anyone explain me the concept of quadratic equation?
If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x? The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5,
Year 1 2 3 4 5 6 7 8 9 10 Corn revenue 40 44 46
George worked from 7:00 A.M. to 3:30 P.M. with a 45-minute break. If George earns $10.50 per hour and does not obtain paid for his breaks, how much will he earn? (Round to the near
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what is the answer
1/2 + 2/8 =
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