/2.11 The resumés of two male applicants for a college teaching position in chemistry are placed in the same fle as the resumés of two female applicants. Two po- sitions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. The second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. Using the notation M2F1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space S; (b) list the elements of S corresponding to event A that the position of assistant professor is filled by a male applicant; (c) list the elements of S corresponding to event B that exactly one of the two positions is filled by a male applicant; (d) list the elements of S corresponding to event C that neither position is filled by a male applicant; (e) list the elements of S corresponding to the event ANB3B (1) list the elements of S corresponding to the event AUC; (8) construct a Venn diagram to illustrate the intersec- tions and unions of the events A, B, and C.
/2.11 The resumés of two male applicants for a college teaching position in chemistry are placed in the same fle as the resumés of two female applicants. Two po- sitions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. The second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. Using the notation M2F1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space S; (b) list the elements of S corresponding to event A that the position of assistant professor is filled by a male applicant; (c) list the elements of S corresponding to event B that exactly one of the two positions is filled by a male applicant; (d) list the elements of S corresponding to event C that neither position is filled by a male applicant; (e) list the elements of S corresponding to the event ANB3B (1) list the elements of S corresponding to the event AUC; (8) construct a Venn diagram to illustrate the intersec- tions and unions of the events A, B, and C.
A First Course in Probability (10th Edition)
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Transcribed Image Text:2.11 The resumés of two male applicants for a college
teaching position in chemistry are placed in the same
Sle as the resumés of two female applicants. Two po-
sitions become available, and the first, at the rank of
assistant professor, is filled by selecting one of the four
applicants at random. The second position, at the rank
of instructor, is then filled by selecting at random one
of the remaining three applicants. Using the notation
M2F1, for example, to denote the simple event that
the first position is filled by the second male applicant
and the second position is then filled by the first female
applicant,
(a) list the elements of a sample space S;
(b) list the elements of S corresponding to event A that
the position of assistant professor is filled by a male
applicant;
(c) list the elements of S corresponding to event B that
exactly one of the two positions is filled by a male
applicant;
(d) list the elements of S corresponding to event C that
neither position is filled by a male applicant;
(e) list the elements of S corresponding to the event
ANB;
(t) list the elements of S corresponding to the event
AUC;
8) construct a Venn diagram to illustrate the intersec-
tions and unions of the events A, B, andC.
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