2. The binomial expansion ( a + b]:12 ( note n = 12) has the term E ox'3b2"+3 . (a) Find the value of x in the exponent. (b) Find the value of K 3. In a little league playoff game the series is a best of 5 where the first team to win 3 games wins the series. If team A has a 70% chance of winning and team B has a 30% chance of winning any game. Describe and design simulations that could be used by statisticians to (1) Determine the probability that Team A will win the series and (ii) Determine the expected number of games that the series will go to. You don't need to do the simulation but you can give an example. Bonuses: (i) A binomial expansion (1 + b)" has the following term : 3432 y? , find a, b and 11? (ii) Which 2 teams will be in the Finals for Hockey? Choices Montreal, Colorado or Vegas, Tampa or Carolina, NY] or Boston