A professional basketball star who had a reputation for being a poor free throw
ID: 3295712 • Letter: A
Question
A professional basketball star who had a reputation for being a poor free throw shooter made 4955 of the 9754 free throws that he attempted for a success ratio of 0.508. A simulation was developed to generate random numbers between 1 and 1000 and outcome of 1through 508 was considered to be a free throw that is made, and an outcome of 509 through 1000 was considered to be a free-throw that is missed. The list below shows the results for five generated numbers is where 1represents a free-throw that was May and zero present a free throw that was made and 0 represents a free throw that was missed complete parts A and B 1 0 1 0 1 a is the proportion of successful free throws P from the simulation reasonably close to the value of 0.508?
A professional basketball star who had a reputation for being a poor free throw shooter made 4955 of the 9754 free throws that he attempted for a success ratio of 0.508. A simulation was developed to generate random numbers between 1 and 1000 and outcome of 1through 508 was considered to be a free throw that is made, and an outcome of 509 through 1000 was considered to be a free-throw that is missed. The list below shows the results for five generated numbers is where 1represents a free-throw that was May and zero present a free throw that was made and 0 represents a free throw that was missed complete parts A and B 1 0 1 0 1 a is the proportion of successful free throws P from the simulation reasonably close to the value of 0.508?
Explanation / Answer
The proportion of free throws we get from the population = 0.508.
In sample out of 5 free throws 3 were success.
Hence, proportion of success in sample = 3 / 5 = 0.6.
The proportion of successful free throws P from the simulation reasonably high compared to the value of 0.508
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