Question 6 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?
Answer
A
The independence of the two ice machines means that they fill buckets of ice approximately Normally.
B
The independence of the two ice machines means that the two random variables have a correlation of 1.
C
The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.
D
The independence of the two ice machines means that if one machine is filling ice buckets properly, the other has a smaller probability of filling ice buckets properly.