(All Steps) In an electrical system a certain component is inevitable and must be replaced immediately upon failure. The lifetime of that component has


Question: In an electrical system a certain component is inevitable and must be replaced immediately upon failure. The lifetime of that component has \(\exp (3)\) (in months) distribution.

  1. Use the CLT to approximate the probability that 120 components are sufficient for 3 years.
  2. Use the CLT to approximate the minimum number of components the authority need to store to make sure that the system runs for 4 years with a guarantee of \(95 \%\).

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