This question has 2 parts. There are 171 students taking one of the three music classes at Lincoln High School.
There are 84 in orchestra, 65 in band, and 22 in choir. None of the students are
taking more than one music class. Eight of these students need to be chosen to
represent the music program. The easiest way to choose the 8 students is to pick the
names randomly from all the music students.
Part 1: Does the simulation show that randomly
selecting names will result in at least 1 choir member
being chosen?
yes
no
Part 2: Select a reason for your answer.
The teachers want to make sure that this selection method will result in at least 1
choir member being chosen. To test the selection method, a simulation is run where
different values correspond to orchestra, band, and choir members. Each simulation
trial includes 8 values being generated to represent the 8 individuals who are
randomly selected. The simulation is run 100 times, and the dot plot shows how
many choir members were selected within each trial.
A. One choir member being chosen is the most
frequent distribution.
Number of Choir Members Selected per Simulation Trial
B.
32% of the simulation trials result in no choir
members being chosen.
Oc.
The simulation shows that it is possible for up
to 4 choir members to be chosen.
D.
Over half of the simulation trials result in at
least I choir member being chosen.
8
Number of Choir Members