Question: e Suppose a bowl has 5 chips; two chips are labeled 2, and three chips are labeled 3. Suppose two chips are selected at random

  1. e Suppose a bowl has 5 chips; two chips are labeled "2", and three chips are labeled "3". Suppose two chips are selected at random with replacement. Let the random variable X equal the product of the two draws (e.g. if the first draw is a 2 (21) and the second draw is a 3 (32), then the product is 23=6).
  2. (a)Find the probability distribution of X.
  4. (b)Find the probability that the product of the two draws is less than or equal to 6,
  5. i.e. find P (X 6).
  6. (c)Find the probability that the product of the two draws is greater than 4 given
  7. that the product is less than or equal to 6, i.e. find P (X > 4X 6).
  8. (d)Compute the expected value of X.
  9. (e)Compute = SD(X).
  10. 4.8Repeat question 4.7(a) assuming the chips are drawn without replacement.

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