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)? 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 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)?

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.
 
please help i have 13 mins
Swim Stroke
Breast
Freestyle
Butterfly
Total
Brand A
15
19
10
44
Brand B
18
26
7
51
Total
33
45
17
95
Brand
Preference
Transcribed Image Text:Swim Stroke Breast Freestyle Butterfly Total Brand A 15 19 10 44 Brand B 18 26 7 51 Total 33 45 17 95 Brand Preference
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