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Consider a group of seven students who are given a raffle numbered from 1 to 7,...

Consider a group of seven students who are given a raffle numbered from 1 to 7, where each number appears once. We first select a raffle number randomly from 1 to 7. Then based on the first raffle number, we randomly choose the second raffle from those that are larger than the first raffle number. If the first raffle number is 7, then we choose the second from all remaining six (1-6). Let X and Y be the first and second raffle numbers, respectively.

  1. Find P(Y=3)
  2. Find P(Y=6)
  3. Find P(Y<X)
  4. Find P(Y=6 | X=3)
  5. Find P(Y=6 | X=5)
  6. Find P(X+Y ≥ 9 | X=3)
  7. Are X and Y independent?
Math   Statistics-And-Probability   
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