A production process makes X units of a product each week, where X is a random variable which takes values 98, 107, or 111, with corresponding probabilities 0.1, 0.7, and 0.2. The number of labor hours needed for this is 36. What is the average productivity (in terms of average number of units per labor hour)?

(provided 2 decimal places)

(hint: average production = expected value = sum of {each production value times its probability}; productivity = output / input)