3
QuizMultiple Choice

Unit Test — Unit test

Question 3 • 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. The student assigns the digits to the outcomes. 00-04 = package not delivered on time05-99 = package delivered on time

Answer
A
Read 100 two-digit numbers. Count the number of packages that were not delivered on time.
B
Read two-digit numbers. Count the number of packages that are needed in order to find one that was delivered on time.
C
Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.
D
Read 100 two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Explanation

The digits 00–04 represent a package that was not delivered on time, while 05–99 represent an on-time delivery. To simulate the number of packages needed, read two-digit numbers until the first number from 00 through 04 appears, then count how many numbers were read. Choice C describes this process; reading a fixed 100 numbers or stopping at an on-time package would not answer the question.

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