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Yarn Faults or Defects and Remedies?

The number of defects in a 2000 -foot spool of yarn manufactured by a machine has a Poisson distribution with unknown mean λ. The prior distribution of λis gamma with parameters α=4 and β=2. A total of 42 defects were found in a sample of 10 spools that were examined. Determine the posterior density of λ. | Numerade

Defects in yarn manufactured by a local mill can be approximated by a distribution with a mean of 1.2 defects for every 6 metres of length. If lengths of 6 metres are to be inspected, - Business Mathematics and Statistics | Shaalaa.com