Mathematics, 26.03.2021 06:30 SoccerdudeDylan

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. A 5-column table with 3 rows. Column 1 has entries brand A, brand B, total. Column 2 is labeled breast with entries 15, 18, 33. Column 3 is labeled freestyle with entries 19, 26, 45. Column 4 is labeled butterfly with entries 10, 7, 17. Column 5 is labeled total with entries 44, 51, 95. The columns are titled swim stroke and the rows are titled brand preference.

Which of the following is the correct value and interpretation of P(F|B)?

P(F|B) = 0.51; given that the student prefers brand B, there is a 0.51 probability that their strongest stroke is freestyle.
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.
P(F|B) = 0.58; given that the student prefers brand B, there is a 0.57 probability that their strongest stroke is freestyle.
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.

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A researcher randomly selects 95 high school swimmers and asks them which swim stroke is their stron...

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