In a particular college class, 60% of the students are female. Fifty percent of all students in the class have long hair. Forty-five percent of the students are female and have long hair. Of the female students, 75% have long hair. Let F be the event that a student is female. Let L be the event that a student has long hair. One student is picked randomly. Are the events of being female and having long hair independent? The following probabilities are given in this example: . • P(F) = 0.60; P(L) = 0.50 . • P(F AND L) = 0.45 . P(L|F) = 0.75 .

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In a particular college class, 60% of the students are female. Fifty percent of all students in the class have long
hair. Forty-five percent of the students are female and have long hair. Of the female students, 75% have long hair.
Let F be the event that a student is female. Let L be the event that a student has long hair. One student is picked
randomly. Are the events of being female and having long hair independent?
The following probabilities are given in this example:
.
• P(F) = 0.60; P(L) = 0.50
.
• P(F AND L) = 0.45
.
P(L|F) = 0.75
.
Transcribed Image Text:In a particular college class, 60% of the students are female. Fifty percent of all students in the class have long hair. Forty-five percent of the students are female and have long hair. Of the female students, 75% have long hair. Let F be the event that a student is female. Let L be the event that a student has long hair. One student is picked randomly. Are the events of being female and having long hair independent? The following probabilities are given in this example: . • P(F) = 0.60; P(L) = 0.50 . • P(F AND L) = 0.45 . P(L|F) = 0.75 .
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