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The percentage of alcohol in a certain compound may be considered as a random variable X with the following pdf

fX (x) = 20x^3 (1 - x), 0 < x < 1.

Suppose that the selling price of the above compound depends on the alcohol contents. Specifcally, if 1/3 < X < 2/3, the compound sells for 120 dollars/gallon otherwise it sells for 90 dollars/gallon. If the cost is 50 dollars/gallon, and the probability distribution of the net profit per gallon.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91000185

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