Two random variables X and Y are independent. Each has a binomial distribution with success probability 0.4 and 2 trials. a) Find the joint probability distribution function f(x,y). b) Give the joint probabilities using a table. Hint, the size of the table is 3 by 3. c) Find the probability P(Y > X).

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9. Two random variables X and Y are independent. Each has a binomial distribution with success probability 0.4 and 2 trials.

  1. a) Find the joint probability distribution function f(x,y).
  2. b) Give the joint probabilities using a table. Hint, the size of the table is 3 by 3.
  3. c) Find the probability P(Y > X).
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