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.

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.

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!