Question

30 POINTS DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!!!!

6. Use the information presented in the section ”Is That Fair?’ to answer the following: The local news station wants to interview 8 students from a school. There are 25 students on the student council. Ten of the students are from the graduating class and 15 are from the other classes. The principal has a difficult time deciding which students from the council will get interviewed, so she tells the group of students that she will put all of the names in a bowl, mix the names, then the first 8 names who are selected from the bowl will get to be interviewed.


The next day, the principal returns with the names selected. It turns out that 5 of the students who get to be interviewed are in the graduating class and only 3 of the students selected are from other classes. The students who are not in the graduating class complain that this doesn’t seem fair. They suspect that the principal chose the group rather than selecting at random.

• Do you think the principal could have chosen this group of students at random like she promised? Explain your reasoning.

• Simulate the drawing many times to find some possible results.

o Cut a piece of paper into 25 equal-sized pieces. On 10 on the pieces of paper, write “graduating class.” On the other 15 pieces of paper, write “other classes.” Fold the papers in half and mix them up.

o Take turns with your partner to draw 8 pieces of paper and record the number of students chosen that are in the graduating class.

o Repeat this process 4 more times.

• Create a dot plot that shows the number of students chosen from the graduating class by all of the students in your class.






• Based on the dot plot, do you think it is reasonable that the principal selected the students for the interview at random and still chose 5 of the 8 students who are in the graduating class? Explain your reasoning.

Answer 1

Explanation

The principal should not select the students randomly. He should select students based on there skills and experience but not all the students are experienced and skilled.

The local news station wants to interview only 8 students when a total 25 students are present in those 10 students are from the graduating class and remaining 15 students are from other classes so The Principal name the students to participate in the interview conducted by the local news station

The graduating class should be giving chance because other classes will have more chance but graduating classes will have few because they will be graduating