AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Combining Two Random VariablesQuestion 2
2
QuizMultiple Choice
Combining Two Random Variables
Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
Two machines, X and Y, produce earbuds. Let X represent the diameter of an earbud produced by machine X, and let Y represent the diameter of an earbud produced by machine Y. X has a mean of 14 mm with a standard deviation of 0.6 mm, and Y has a mean of 15.2 mm with a standard deviation of 0.2 mm. Which answer choice correctly calculates and interprets the mean of the difference, D = X – Y?
Answer
A
= –1.2; earbud manufacturers can expect the difference in the diameter of earbuds produced from machines X and Y, on average, to be –1.2 mm.
B
= 0.4; earbud manufacturers can expect the difference in the diameter of earbuds produced from machines X and Y, on average, to be 0.4 mm.C
= 1.2; earbud manufacturers can expect the difference in the diameter of earbuds produced from machines X and Y, on average, to be 1.2 mm.D
= 29.2; earbud manufacturers can expect the difference in the diameter of earbuds produced from machines X and Y, on average, to be 29.2 mm.