Select the best answer.

A basketball player claims to make 47% of her shots from the field. We want to simulate the player taking sets of 10 shots, assuming that her claim is true. To simulate the number of makes in 10 shot attempts, you would perform the simulation as follows:

(a) Use 10 random one-digit numbers, where 0-4 are a make and 5-9 are a miss.

(b) Use 10 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

(c) Use 10 random two-digit numbers, where 00-47 are a make and 48-99 are a miss.

(d) Use 47 random one-digit numbers, where 0 is a make and 1-9 are a miss.

(e) Use 47 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

Question

Mathematics

Lorenzo Cochran

16 February, 21:52

Select the best answer.

A basketball player claims to make 47% of her shots from the field. We want to simulate the player taking sets of 10 shots, assuming that her claim is true. To simulate the number of makes in 10 shot attempts, you would perform the simulation as follows:

(a) Use 10 random one-digit numbers, where 0-4 are a make and 5-9 are a miss.

(b) Use 10 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

(c) Use 10 random two-digit numbers, where 00-47 are a make and 48-99 are a miss.

(d) Use 47 random one-digit numbers, where 0 is a make and 1-9 are a miss.

(e) Use 47 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

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Answers (1)

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Darien Cole · Answer 1

E

Step-by-step explanation:

As you need a 47%, you universe of numbers should be form 0 to 99 (or 1 to 100, the important fact is you need 100 numbers). With this, you can discard A and D. You can also discard C, as you need 47 good realizations as you probability is 47%, and C gives you 48 (00 also counts)

You need as many observations as you can, to get a more consistent estimation. This means, as many observations as you can. You could use B or E, because both have 47 good observations (for u), but E gives you a larger sample.

If you are trying to get a head with 50% throwing a dime, you will, statistically, do better throwing it 47 times than only 10 times.