AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Combining Two Random VariablesQuestion 10
10
QuizMultiple Choice
Combining Two Random Variables
Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer
A
; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
B
; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
C
; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.D
; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.