In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Wr1te the symbols for the probabilities of the events for parts a through J. (Note that you cannot find numerical answers here. You were not given enough information to find any probability values yet: concentrate on understanding the symbols.) • Let F be the event that a student is female. • Let M be the event that a student is male. • Let S be the event that a student has short hair. • Let L be the event that a student has long hair. a. The probability that a student does not have long hair. b. The probability that a student is male or has short hair. c. The probability that a student is a female and has long hair. d. The probability that a student is male, given that the student has long hair. e. The probability that a student has long hair, given that the student is male. f. Of all the female students, the probability that a student has short hair. g. Of all students with long hair, the probability that a student is female. h. The probability that a student is female or has long hair. 1. The probability that a randomly selected student Is a male student with short hair. J. The probability that a student is female.
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Wr1te the symbols for the probabilities of the events for parts a through J. (Note that you cannot find numerical answers here. You were not given enough information to find any probability values yet: concentrate on understanding the symbols.) • Let F be the event that a student is female. • Let M be the event that a student is male. • Let S be the event that a student has short hair. • Let L be the event that a student has long hair. a. The probability that a student does not have long hair. b. The probability that a student is male or has short hair. c. The probability that a student is a female and has long hair. d. The probability that a student is male, given that the student has long hair. e. The probability that a student has long hair, given that the student is male. f. Of all the female students, the probability that a student has short hair. g. Of all students with long hair, the probability that a student is female. h. The probability that a student is female or has long hair. 1. The probability that a randomly selected student Is a male student with short hair. J. The probability that a student is female.
In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Wr1te the symbols for the probabilities of the events for parts a through J. (Note that you cannot find numerical answers here. You were not given enough information to find any probability values yet: concentrate on understanding the symbols.)
• Let F be the event that a student is female.
• Let M be the event that a student is male.
• Let S be the event that a student has short hair.
• Let L be the event that a student has long hair.
a. The probability that a student does not have long hair.
b. The probability that a student is male or has short hair.
c. The probability that a student is a female and has long hair.
d. The probability that a student is male, given that the student has long hair.
e. The probability that a student has long hair, given that the student is male.
f. Of all the female students, the probability that a student has short hair.
g. Of all students with long hair, the probability that a student is female.
h. The probability that a student is female or has long hair.
1. The probability that a randomly selected student Is a male student with short hair.
J. The probability that a student is female.
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
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Part (b)
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Part (c)
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2010 Birth
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Harvard University
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Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
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University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore
McGill…
Name
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore…
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