1. In this problem you will estimate the probability of rolling a 1 on a fair die and compare it to the true/classical/theoretical probability of getting a 1.

Simulate the rolling of a single die 4000 times by randomly generating 4000 integers between 1 and 6.In StatCrunch:Data, then Simulate Data, select Discrete Uniform, 4000 rows, 1 column, minimum value of 1 and maximum value of 6; you can ignore "store values" and "seeding".Then to get number of 1s, click on Stat, then Tables, then frequency.You can get the count and relative frequency from there. Based on the results, what is the estimated probability of getting a 1 when a single die is rolled?How does this estimated probability compare to the theoretical probability obtained by using the classical definition of probability given in the textbook?

Number of 1s:

Empirical P(1), using the definition on page 135 of the text:

Classical P(1), using the definition on page 134 of the text:

How does the empirical probability compare to the classical (theoretical) probability?Was what you observed from the empirical probability close to the true or classical probability of rolling a 1?