7
AssignmentMultiple Choice

Simulations

Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Suppose you are going to shoot free throws until you make one. You are typically a 40% free-throw shooter. How would you simulate one trial of this geometric setting?

Answer
A
Calculate the average number of successes for many trials of size 40.
B
Count the number of successes among the first 40 digits.
C
Count the number of digits until you obtain a success.
D
Let 0–4 = success, and 5–9 = failure.

Explanation

A geometric setting counts the number of attempts needed to get the first success. To simulate one trial, use random digits with a 40% success rate and count the digits until the first success occurs. Thus, “count the number of digits until you obtain a success” is the correct choice; the 0–4 rule in choice D would make success 50% likely, not 40%.

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