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9. In a class, 60% of the students are female, 50% of all students in the class have long hair, 45% of the students are female and have long hair. Of the female students. 75% have long hair. Let F be the event that the student is female. Let L be the event that the student has long hair. One student is picked randomly. Are the events of being female and having long hair independent?

9. In a class, 60% of the students are female, 50% of all students in the class have long hair, 45% of the students are female and have long hair. Of the female students. 75% have long hair. Let F be the event that the student is female. Let L be the event that the student has long hair. One student is picked randomly. Are the events of being female and having long hair independent?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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REC O x .002 w to Determine If 2 Events Are Independent: Substitute in what you know in to P(An B) = P(A) • P(B) and check to see if left side equals right side. o If it's equal, then it's independent. o If it's not equal, then it's not independent (or dependent). Let event M = taking a math class. Let event S = taking a science class. Then. M and S = taking a math class and a science class. Suppose P(M) = 0.6. P(S) = 0.5. and P(M and S) = 0.3. Are M and S independent? PCM)- P(S) = P(Mand5) .3 .3 indep endent .3 9. In a class, 60% of the students are female. 50% of all students in the class have long hair, 45% of the students are female and have long hair. Of the female students, 75% have long hair. Let F be the event that the student is female. Let L be the event that the student has long hair. One student is picked randomly. Are the events of being female and having long hair independent? ELMO
Transcribed Image Text:REC O x .002 w to Determine If 2 Events Are Independent: Substitute in what you know in to P(An B) = P(A) • P(B) and check to see if left side equals right side. o If it's equal, then it's independent. o If it's not equal, then it's not independent (or dependent). Let event M = taking a math class. Let event S = taking a science class. Then. M and S = taking a math class and a science class. Suppose P(M) = 0.6. P(S) = 0.5. and P(M and S) = 0.3. Are M and S independent? PCM)- P(S) = P(Mand5) .3 .3 indep endent .3 9. In a class, 60% of the students are female. 50% of all students in the class have long hair, 45% of the students are female and have long hair. Of the female students, 75% have long hair. Let F be the event that the student is female. Let L be the event that the student has long hair. One student is picked randomly. Are the events of being female and having long hair independent? ELMO
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