Question

1. election youre pretty sure that your candidate for class president has about 55% of the votes in the entire school. but youre worried that only 100 students will show up to vote. how often will the underdog (the one with 45% support) win? to find out, you set up a simulation.

a) describe how you will simulate a component.
b) describe how you will simulate a trial.
c) describe the response variable.

Explanation:

• a) A component is one vote. We can use random numbers. For example, let \(0 - 54\) represent a vote for the \(55\%\) - supported candidate and \(55 - 99\) represent a vote for the underdog (the \(45\%\) - supported candidate).
• b) A trial is the set of 100 votes (simulated components). We generate 100 random numbers (as described in part a) and count the number of votes for each candidate.
• c) The response variable is whether the underdog wins the "election" (i.e., gets more than 50 of the 100 simulated votes).

Answer:

• a) Use random numbers \(0 - 99\). \(0 - 54\) for \(55\%\) - candidate, \(55 - 99\) for underdog.
• b) Generate 100 random numbers (as in a) and count votes.
• c) Whether underdog gets \(>50\) votes.