Question: X, Y follow the exponential distribution with rate parameter lambda = 5.0 P[X >= 5] ? Write P[X+Y

X, Y follow the exponential distribution with rate parameter lambda = 5.0

  • P[X >= 5] ?
  • Write P[X+Y <= 14] as an integral

Let Z = min[X, Y].

  • P[Z <= 5] ?
  • E[Z] ?
  • P[X < Y]?

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