12
QuizMultiple Choice

Unit Test — Unit test

Question 12 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time. What is an appropriate assignment of digits to carry out this simulation?

Answer
A
Let 00-04 = not delivered on time. Let 05-99 = delivered on time.
B
Let 05-99 = not delivered on time. Let 00-04 = delivered on time.
C
Let 00-05 = not delivered on time. Let 06-99 = delivered on time.
D
Let 06-99 = not delivered on time. Let 00-05 = delivered on time.

Explanation

If 95% of packages arrive on time, then 5% are not delivered on time. Using two-digit numbers from 00 to 99 gives 100 equally likely outcomes, so 5 outcomes should represent a late package. Assigning 00–04 to “not delivered on time” represents 5 out of 100 outcomes, or 5%.

AI-written and checked against the verified answer.

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