Data collected over time show that subway trains depart a given platform 70% of the time. You have designed a simulation to generate departure data using the numbers 0, 1, 2, 3, 4, 5, and 6 to represent on-time departures, and 7, 8, and 9 to represent departures that are not on time. Use the random number table below, starting with the first digit of the third row to generate departure data for 25 trains.

A random number table is used to select numbers at random making use of the first digits that make sense according to the value in question to produce a probability or a mean. Choose the numbers by random and select the first digits. The numbers 0, 1, 2, 3, 4, 5, and 6 represent 1, while the numbers 7, 8, and 9 represent 0. Add all the 1's and 0's and divide by the total count of numbers.

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facundo3141592 facundo3141592 · Answer 2 · 2019-10-14T16:27:57+02:00

Answer: Hello there!

I think the table is missing, but none the less, let's discuss this exercise.

Here we have a random number generator, that generates numbers between 0 and 9 (10 digits in total)

A random number generator generates this all these numbers with the same probability, and in the generator is ideal, a number generator does not depend on the number generated just before, so you could think this as a 10 side dice.

Now you have 7 of this equally possible 10 numbers that simulate that the train departure in time, then you have a 7/10 probability that the train departs in time (or a 70%)

and there are 3 numbers that simulate that the train is not in time, this represents a 30% in the simulation.

Then, in this case, you need to use the random number generator or a table of randomly generated numbers, and associate the numbers between 0 and 6 to an on-time departure and the numbers between 7 and 9 for a not on-time departure, and the results that you expect to see is that in almost the 70% of the cases the train departs in time, and in 30% not.