Question

The TTT company produces Tee shirts in sizes S, M, L, XL. Let the r.v. X...

  1. The TTT company produces Tee shirts in sizes S, M, L, XL. Let the r.v. X = 1 represent small size; X=2 for medium; X=3 for large and X=4 for XL. 20% of shirts produced are size S, 30% are size M, 40% are size L, and the rest are XL.

  1. Write the pdf of the r.v. X as a table and a graph.
  1. Write the cdf of r.v. X
  1. Find the mean and variance of X.
  1. The cost of material used is a function of size where the cost is 3.727272+10.818181X. What is the mean and variance of the amount of material?.
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