Based on the payoffs and the probabilities given, we can calculate the mean to be 0.8 shots made.
The mean in this scenario will be a weighted average of the probabilities that a number of shots will be made.
The mean will be:
= ∑ (Number of shots x Probability of number of shots)
= (0 x 0.36) + (1 x 0.48) + (2 x 0.16)
= 0.8 shots
In conclusion, the mean is 0.8 shots.
Find out more about weighted average at https://brainly.com/question/18554478.