a.What proportion of MLS players are defenders? (Your answer should be rounded to two decimals. For example, if 12% of players are defenders, your answer should be 0.12.) (total of 714 players, and 38% are defencers)

38%= 271

b.Suppose that a fan wins a contest where the prize package is ten randomly selected MLS players' jerseys. The fan plays defender in a rec-league, so the fan is hoping that most of the jerseys belong to defenders. Use your worksheet and your answer to part (a) to answer the following questions.

i)What is the minimum number of jerseys in the prize package that can belong to a defender?

ii)What is the maximum number of jerseys in the prize package that can belong to a defender?

iii)What is the expected value for the number of jerseys in the prize package that will belong to a defender? Record your answers rounded to 2 decimals.

iv)What is the probability that none of the jerseys in the prize package will belong to a defender? Record your answers rounded to 5 decimals.