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Mathematics, 04.01.2021 21:00 Lesquirrel

A researcher randomly selected 132 high school students and asked them about their study habits and lighting preference when studying. The two-way table displays the data. Suppose one of the students is randomly selected. Let L= the student prefers low light and S = the student sometimes studies. Study Habits Never Sometimes Frequently Total Low 10 21 6 37 Medium 8 26 17 51 Lighting Preference High 4 13 27 44 Total 22 60 50 132 Which of the following is the correct value and interpretation of P(SIL)? OP(SIL) = 0.35; given that the student prefers low light, there is a 0.35 probability that they sometimes study. OPISIL) = 0.35; given that the student sometimes studies, there is a 0.35 probability that they prefer low light. P(SIL) = 0.57; given that the student prefers low light, there is a 0.57 probability that they sometimes study.

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