Question

2. Sami is an avid free throw shooter preparing for a large free throw competition in New York. This competition requires participants to shoot free throws with both hands. Sami is left-handed and a pretty good free throw shooter, able to connect on 94% of her attempts with her left hand However she misses 20% of her free throws with her right when practicing free throws, she attempted an equal number of shots with her left hand and right hand. Define the following events: L = Shooting the free throw with her left hand M-Made the free throw a. [3 pts] Write each of the three probabilities given in the problem statement (0.94, 0.20, 0.50) next to its' appropriate notation Leave any probabilities not given in the problem statement blank (you do NOT need to calculate these) P(L) P(M) RM L)- o pSrur in une roinowing nypotnericar tabre Tor 100,000 tree tnrow artemprs I TE TOIOwng Mc Total Total 100,000

Answer 1

(a)

P(L) = 0.50

(b)

Following is the completed table in terms of probabilities:

Following is the completed table in terms of subjects:

(c)

Following is the completed tree diagrams:

d(i)

By the law of total probability, the probability that Sami makes a free throw is

(ii)