Mathematics, 12.05.2021 23:10 josie6471

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

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.

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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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