Question

According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let X = the number of days on which the train arrives on time. 1. Explain why this is a binomial setting.

Answer 1

Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.