Independent and Mutually Exclusive Events · Example 7
In a particular college class, 60% of the students are women. Fifty percent of all students in the class have long hair. Forty-five percent of the students are women and have long hair. Of the women students, 75% have long hair. Let W be the event that a student is a women. Let L be the event that a student has long hair. One student is picked randomly. Are the events of being a woman and having long hair independent?
• The following probabilities are given in this example:
• P(W) = 0.60; P(L) = 0.50
• P(W AND L) = 0.45
• P(L|W) = 0.75
OpenStax, Introductory Statistics 2e · §3.2 Independent and Mutually Exclusive Events · Example 7
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