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 .
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 .
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3349167e-6ed0-4ef1-88a9-0763a2866bf5%2F91692615-80ac-4129-b960-fc14a1f49d25%2Focyhj94_processed.jpeg&w=3840&q=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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