Checkpoint 7.7.4. - Rolling Dice.

Suppose you roll a standard pair of 6-sided dice 20 times and let X measure the number of outcomes which result in a sum of 7 or 11. Determine:
  1. the expected number of rolls which have a sum of 7 or 11
  2. P(X=5)
  3. P( X > 5)
  4. P( X < 5)
in-context