Chapter 5.1, Problem 20E

To determine

To Explain: the about carry out a simulation to calculate the probability that a train with a 90% possibility of arriving on time every day would be late on 2 or more of 6 days.

Answer to Problem 20E

When the number is between 0 and 8, including 8, then train would arrives on time, otherwise the train arrives late.

Explanation of Solution

There is 90% probability of the train arriving on time, which associates with about 9 out of each 10 days. Arbitrary generating digit using a random number generator, chosen the first digit and when the number is between 0 and 8, including 8, then train would arrives on time, otherwise the train arrives late. Repeat until got the outcome of 6 days and count the number of times is late among those 6 days. Repeat many times and calculate the probability as the proportion of trials that had 2 or more days among the 6 days when the train was late.