Question

There are 40% of students currently taking AP Statistics who have taken previous AP courses. Momo High School has only 4 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation?

Answer 1

Answer:

The correct answer is D. Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.  

Complete statement and question:

There are 40 percent of students currently taking AP Statistics who have taken previous AP courses. Momo High School has only 4 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation?  

A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.  

B. Assign 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.  

C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.  

D. Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.  

E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.

Source: https://answers.yahoo.com/question/index?qid=20190708022121AAF54bh

Explanation:

1. Let's review the information provided to us to answer the question correctly:

Students currently taking AP Statistics who have taken previous AP courses = 40%

Number of students at Momo High School = 4 of 15 students who have taken previous AP courses

2. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size.

To avoid biases in the simulation and that this reflects what we know in advance, that is to say that there are 40% of students currently taking AP Statistics who have taken previous AP courses, we must consider that there are four out of ten assignments exclusively for this group of students who have taken previous AP courses and six for those who have not taken previous courses. The only alternative that reflects this information is alternative D because it assigns from 0 to 3 for the group of students that we want to identify in the simulation and six for the others.