Estimate the probability, Basic Statistics

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A football coach recorded in the practice sessions how many attempts were needed for a certain player to kick a field goal from the 25-yard line, and got the following numbers

3  3  1  4  2  1  1  2  3  2

Assuming that the outcomes of the attempts are independent,

(a)   What is the distribution of the number of attempts needed for the player to kick a field goal? What is the parameter of the distribution?

(b)   Using the method of moments, estimate the probability that the player kicks a field goal at an attempt.

 


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