A researcher randomly selects 95 high school students and asks their handwriting preference and how well they dance. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers writing in block letters and F = the student’s dancing skills are fair.   Which of the following is the correct value and interpretation of P(B|F)? P(B|F) = 0.37; given that the student has fair dancing skills, there is a 0.37 probability that they prefer to write with block letters. P(B|F) = 0.37; given that the student prefers to write with block letters, there is a 0.37 probability that they have fair dancing skills. P(B|F) = 0.45; given that the student has fair dancing skills, there is a 0.45 probability that they prefer to write with block letters. P(B|F) = 0.45; given that the student prefers to write with block letters, there is a 0.45 probability that they have fair dancing skills.

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A researcher randomly selects 95 high school students and asks their handwriting preference and how well they dance. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers writing in block letters and F = the student’s dancing skills are fair.

 

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

P(B|F) = 0.37; given that the student has fair dancing skills, there is a 0.37 probability that they prefer to write with block letters.
P(B|F) = 0.37; given that the student prefers to write with block letters, there is a 0.37 probability that they have fair dancing skills.
P(B|F) = 0.45; given that the student has fair dancing skills, there is a 0.45 probability that they prefer to write with block letters.
P(B|F) = 0.45; given that the student prefers to write with block letters, there is a 0.45 probability that they have fair dancing skills.
A researcher randomly selects 95 high school students
and asks their handwriting preference and how well
they dance. The two-way table displays the data.
Suppose one of the students is randomly selected. Let
B = the student prefers writing in block letters and F =
Which of the following is the correct value and
interpretation of P(B|F)?
P(B|F) = 0.37; given that the student has fair
dancing skills, there is a 0.37 probability that they
prefer to write with block letters.
the student's dancing skills are fair.
O P(B|F) = 0.37; given that the student prefers to write
Dancing Skill
with block letters, there is a 0.37 probability that they
Minimal
Fair
Good
Total
have fair dancing skills.
P(B|F) = 0.45; given that the student has fair
dancing skills, there is a 0.45 probability that they
prefer to write with block letters.
Block
16
17
13
46
Cursive
9
21
19
49
O P(B|F) = 0.45; given that the student prefers to write
Total
25
38
32
95
with block letters, there is a 0.45 probability that they
have fair dancing skills.
Mark this and return
Save and Exit
Next
Submit
Handwriting
Preference
Transcribed Image Text:A researcher randomly selects 95 high school students and asks their handwriting preference and how well they dance. The two-way table displays the data. Suppose one of the students is randomly selected. Let B = the student prefers writing in block letters and F = Which of the following is the correct value and interpretation of P(B|F)? P(B|F) = 0.37; given that the student has fair dancing skills, there is a 0.37 probability that they prefer to write with block letters. the student's dancing skills are fair. O P(B|F) = 0.37; given that the student prefers to write Dancing Skill with block letters, there is a 0.37 probability that they Minimal Fair Good Total have fair dancing skills. P(B|F) = 0.45; given that the student has fair dancing skills, there is a 0.45 probability that they prefer to write with block letters. Block 16 17 13 46 Cursive 9 21 19 49 O P(B|F) = 0.45; given that the student prefers to write Total 25 38 32 95 with block letters, there is a 0.45 probability that they have fair dancing skills. Mark this and return Save and Exit Next Submit Handwriting Preference
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