Question

In: Statistics and Probability

An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...

An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked to randomly pick 5 of them. Let X1 and X2 denote the blue and red gemstones respectively, find the following:

  1. The joint probability mass function (PMF) of X1 and X2, i.e., pX1X2(x1,x2)
  2. Marginal PMFs of X1 and X2, i.e., pX1(x1) and pX2(x2)
  3. Determine the first order moments of both X1 and X2
  4. E[X1|X2]
  5. E[3X12X2-X1X2]
  6. Are X1 and X2 independent?

Solutions

Expert Solution

your question is little bit wrong there are 5 blue 3 red and 2 black (instade of blue)

Thank you.

orchestra answered 1 year ago
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