Question

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 time

05-99 = package delivered on time

How can a random number table be used to simulate one trial of this situation?

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

Answer 1

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Explanation: