Suppose that a certain member of the Los Angeles Clippers is considered a streaky player. That...

Suppose that a certain member of the Los Angeles Clippers is considered a streaky player. That is, many people believe that his shots are not independent. If he makes a shot, they believe he is more likely to make his next shot and vice-versa. As evidence, people point to a recent game where this player took 30 shots and had a streak of 6 made shots in a row. Is this evidence of streakiness or could it have occurred simply by chance? Assuming this player makes 70% of his shots and that his shots are independent,

design and conduct a simulation (do 10 runs) to estimate the probability of having at least one streak of 6 or more made shots in 30 attempts.

Expert Solution

Here is the R code for simulation:

We have generated 30 Bernoulli samples each time. Thes Bernoulli random variables represent if the player was able to score in a game with probability.

Here "for" loop represents that simulation is done 10 times.

"if" statement counts the number of instances where the players get consecutive ones for 6 times i.e. he is able to score 6 consecutive baskets.

Please comment below if you have any doubts regarding the solution.

orchestra answered 2 years ago

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