(Steps Shown) Inspection of a manufactured assembly consists of taking a sample of 4 items and classifying each item as Good or Defective. Define a random variable


Question: Inspection of a manufactured assembly consists of taking a sample of 4 items and classifying each item as Good or Defective. Define a random variable G which represents the number of Good items in the sample. Suppose, on the basis of past experience, the probability distribution of the number of Detectives is:

  1. Find \(\mathrm{E}(\mathrm{G})\) and \(\mathrm{V}(\mathrm{G})\)
  2. Let \(\mathrm{H}=2 \mathrm{G}+5\). Find \(\mathrm{E}(\mathrm{H})\) and \(\mathrm{V}(\mathrm{H})\)

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