AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Conditional ProbabilitiesQuestion 4
4
QuizMultiple Choice
Conditional Probabilities
Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A researcher randomly selects 95 high school swimmers and asks them which swim stroke is their strongest and which bathing suit brand they prefer, brand A or brand B. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers brand B and F = the student’s strongest stroke is freestyle.
Answer
A
P(F|B) = 0.51; given that the student prefers brand B, there is a 0.51 probability that their strongest stroke is freestyle.B
P(F|B) = 0.51; given that the student’s strongest stroke is freestyle, there is a 0.51 probability that they prefer brand B.C
P(F|B) = 0.58; given that the student prefers brand B, there is a 0.57 probability that their strongest stroke is freestyle.D
P(F|B) = 0.58; given that the student’s strongest stroke is freestyle, there is a 0.57 probability that they prefer brand B.