Final answer:
The average number of packages that need to be selected in order to find one that was not delivered on time over 5 trials is 3.0. This result was obtained by conducting a simulation using the specified criteria with a random number table. However, the average figure of 3.0 is not reflected in any of the answer choices, which suggests an error in the process as outlined.
Step-by-step explanation:
To simulate the delivery times, the student uses the given random number table and the criteria that a two-digit number from 00 to 04 indicates a package not being delivered on time, and from 05 to 99 indicates on-time delivery.
Trial 1: The first number from line 1 is 49 which means the package is delivered on time. The second number is 17, also on time. The third number is 02 which means the package is not delivered on time. So it takes 3 packages to find one not delivered on time.
Trial 2: The sequence continues with numbers 37, 61, 80, 18, 00. The fifth number is 00, so it takes 5 packages to find one not delivered on time.
Trial 3: Next, we have 33 and 04. The second number is 04, so it takes 2 packages this trial.
Trial 4: The sequence continues with numbers 55 and 03. It takes 2 packages again in this trial.
Trial 5: Finally, we look at numbers 99, 40, 01. The third number is 01, so it takes 3 packages this time.
To find the average number of packages per trial, we add the number of packages from all trials and divide by 5: (3+5+2+2+3)/5 = 15/5 = 3.0 packages on average. As this option is not available in the choices, it seems there might have been an error in the reading or interpreting of the random number table or executing the steps. However, assuming the simulation was conducted as per the numbers provided, the average obtained is 3.0.