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In: Statistics and Probability

The shelf life, in days, for bottles of a certain prescribed medicine is a random variable...

The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having triangular pdf in the interval (0, 30) months with the mode at 12 months.

  1. Compute the probability that a bottle of this medicine will have a shelf life of at least 200 days; anywhere from 180 to 550 days.
  2. Find the median of the shelf life
  3. Compute the probability that a bottle of this medicine that is still effective at 450 days will have a shell life of at least 200 additional days.
  4. Find the expected value, the median, and the variance of X.

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