How long a basketball player is on the court over the course of the game depends on whether the player is a starter (begins the game on the court) or not. Let’s define the eventsA,T1,T2, andT3as follows:
A={Playing as a starting member}
T1={Playing for less than 16 minutes}
T2={Playing for beteen 16 miniues and 32 mintues}
T3={Playing for more than 32 minutes}
.A basketball analyst reports the following information:
Pr(T1) = 0.40
Pr(A|T1) = 0.15
Pr(T2) = 0.40
Pr(A|T2) = 0.40
Pr(T3) = 0.20
Pr(A|T3) = 0.80
(a) Suppose we learn that a basketball player was a starter for a game.What is the probability that this player played less than 16 minutes?
(b) Suppose we learn that a basketball player was NOT a starter for a game. What is the probability that this player played more than 16minutes?
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