11. Streaky shooting A basketball announcer suggests that a certain player is streaky. That is, the announcer believes that if the player makes a shot, the player is more likely to make the next shot. As evidence, the announcer points to a recent game where the player took 30 shots and had a streak of 10 made shots in a row. Is this convincing evidence of streaky shooting by the player? Assume that this player makes 50% of the shots and that the results of a shot don't depend on previous shots. (a) Describe how you would carry out a simulation to estimate the probability that a 50% shooter who takes 30 shots in a game would have a streak of 10 or more made shots. Do not perform the simulation. (b) The dotplot displays the results of 50 simulated games in which this player took 30 shots. What conclusion would you draw about whether this player was streaky? Explain.

MATLAB: An Introduction with Applications
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11.
Streaky shooting A basketball announcer suggests that a certain player is
streaky. That is, the announcer believes that if the player makes a shot, the
player is more likely to make the next shot. As evidence, the announcer
points to a recent game where the player took 30 shots and had a streak of
10 made shots in a row. Is this convincing evidence of streaky shooting by
the player? Assume that this player makes 50% of the shots and that the
results of a shot don't depend on previous shots.
(a) Describe how you would carry out a simulation to estimate the probability
that a 50% shooter who takes 30 shots in a game would have a streak of 10
or more made shots. Do not perform the simulation.
(b) The dotplot displays the results of 50 simulated games in which this player
took 30 shots. What conclusion would you draw about whether this player
was streaky? Explain.
2
T
3
4
5
6
7
8
Longest streak in simulated game
9
10
Transcribed Image Text:11. Streaky shooting A basketball announcer suggests that a certain player is streaky. That is, the announcer believes that if the player makes a shot, the player is more likely to make the next shot. As evidence, the announcer points to a recent game where the player took 30 shots and had a streak of 10 made shots in a row. Is this convincing evidence of streaky shooting by the player? Assume that this player makes 50% of the shots and that the results of a shot don't depend on previous shots. (a) Describe how you would carry out a simulation to estimate the probability that a 50% shooter who takes 30 shots in a game would have a streak of 10 or more made shots. Do not perform the simulation. (b) The dotplot displays the results of 50 simulated games in which this player took 30 shots. What conclusion would you draw about whether this player was streaky? Explain. 2 T 3 4 5 6 7 8 Longest streak in simulated game 9 10
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