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Suppose that on the average the number of particles emitted from a radioactive substance is five...

  1. Suppose that on the average the number of particles emitted from a radioactive substance is five per second. What is the probability that it will take less than 3 seconds for the next two particles to be emitted?
  2. A beam of length 1 , rigidly supported at both ends, is hit suddenly at a random point, which leads to a break at a position X from the right end. If the distribution of X is beta, with =4,  β=2 , what is the probability ?
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