Suppose flights at a large metropolitan airport are on-time 68% of the time and late 32% of the time. We want to use a table of random digits to simulate flight status (on-time or late), so we'll assign 01, 02, … , 68 to represent on-time flights, and 69, 70, … , 99, 00 to represent late flights.
You want to estimate the probability that 15 or more flights out of 20 will be on-time at this airport. You simulate 20 flights 25 times and get the following numbers of on-time flights:
What is your estimate of the probability?
A. 0.16
B. 0.48
C. 0.56
D. 0.52
To estimate the probability that 15 or more flights out of 20 will be on-time at the airport, we can use the simulation results. Let's analyze the numbers of on-time flights obtained from simulating 20 flights 25 times:
6, 11, 13, 14, 12, 11, 15, 16, 18, 14, 10, 9, 10, 13, 17, 13, 11, 12, 10, 13, 15, 13, 12, 16, 11
Out of the 25 simulations, we can count the number of times where there were 15 or more on-time flights. Based on the given codes, on-time flights are represented by the digits 01 to 68.
From the simulations, we have a total of 9 instances where there were 15 or more on-time flights.
To estimate the probability, we divide the number of simulations with 15 or more on-time flights by the total number of simulations:
Probability = Number of simulations with 15 or more on-time flights / Total number of simulations = 9 / 25 = 0.36
So, the estimate of the probability that 15 or more flights out of 20 will be on-time at the airport is 0.36.
None of the given answer choices match this estimate.