Question

You're pretty sure that your candidate for class president has about 75​% of the votes in the entire school. But​ you're worried that only 100 students will show up to vote. How often will the underdog​ (the one with 25​% ​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.

Answer 1

To simulate the underdog's chances of winning, you can assign votes based on their support percentages, run the simulation multiple times, and count the number of times the underdog wins.

Step-by-step explanation:

a) To simulate a component, you would need to determine the number of votes each candidate receives based on their respective support percentages. You can use a random number generator to assign votes to each candidate. For example, if the underdog has 25% support, you can generate a random number from 1 to 100, and if the number falls between 1 and 25, assign a vote to the underdog, otherwise, assign a vote to the candidate with 75% support.

b) To simulate a trial, you repeat the process of simulating a component multiple times. For instance, you can run the simulation 100 times to represent the 100 students who will show up to vote.

c) The response variable in this simulation would be the number of times the underdog wins in the 100 trials. You can count the number of trials where the underdog has more votes than the candidate with 75% support.