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Velocity of a particle whose mass is 2 kg, has an exp(2) distribution. What is the distribution of its kinetic energy? That is, the CDF

Velocity of a particle whose mass is 2 kg, has an exp(2) distribution.

  1. What is the distribution of its kinetic energy? That is, the CDF of its kinetic energy.
  2. What is the 90th percentile of this distribution?
  3. What is this distribution referred to? (Starts with "W", use search engines)
  4. Using the appropriate Excel function, calculate the probability P(x > .5) and compare with the analytical result from Part 1.

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