AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Combining Two Random VariablesQuestion 4
4
QuizMultiple Choice
Combining Two Random Variables
Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
Elroy enjoys roller skating and weight training. Let X represent the number of hours he spends roller skating weekly, and let Y represent the number of hours he spends weight training weekly. The mean of X is 5 hours, and the mean of Y is 7 hours. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer
A
; Elroy can expect to roller skate and weight train, on average, 6 hours in a typical week.
B
; for any randomly selected week, the sum of Elroy’s time roller skating and weight training is 6 hours.C
; Elroy can expect to roller skate and weight train, on average, 12 hours in a typical week.
D
; for any randomly selected week, the sum of Elroy’s time roller skating and weight training is 12 hours.