3.7 Four supervisors and 3 engineers are responsible for work at a construction site, and at least 2 supervisors and one engineer have to be present at all times. (a) Using two coordinates so that (2, 1), for exam- ple, represents the event that 2 supervisors and one engineer are present, draw a diagram similar to that of Figure 3.1 showing the points of the cor- responding sample space. (b) Describe in words the events which are repre- sented by X = {(2, 2), (3, 3)}, Y = {(2, 1), (2, 2), (2, 3)} and Z = {(2, 1), (3, 1), (4, 1)}. |3D %3D (c) With reference to part (b), express X U Y symbol- ically by listing its elements, and also express this event in words. (d) With reference to part (b), are X and Y mutually exclusive?

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Chapter1: Combinatorial Analysis
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Please tell me the detailed steps to solve the (d) question

ple Spa
(0,2)
(0,1)
(1,1)
Figure 3.1
Sample space for the number
of new computer research
facilities to be located in Texas
100
(0,0)
(1,0)
ide(2,0)
and in California
Texas
California
Transcribed Image Text:ple Spa (0,2) (0,1) (1,1) Figure 3.1 Sample space for the number of new computer research facilities to be located in Texas 100 (0,0) (1,0) ide(2,0) and in California Texas California
3.7 Four supervisors and 3 engineers are responsible for
work at a construction site, and at least 2 supervisors
and one engineer have to be present at all times.
(a) Using two coordinates so that (2, 1), for exam-
ple, represents the event that 2 supervisors and one
engineer are present, draw a diagram similar to
that of Figure 3.1 showing the points of the cor-
responding sample space.
(b) Describe in words the events which are repre-
sented by X = {(2, 2), (3, 3)}, Y = {(2, 1), (2, 2),
(2, 3)} and Z = {(2, 1), (3, 1), (4, 1)}.
(c) With reference to part (b), express X UY symbol-
ically by listing its elements, and also express this
event in words.
(d) With reference to part (b), are X and Y mutually
exclusive?
Transcribed Image Text:3.7 Four supervisors and 3 engineers are responsible for work at a construction site, and at least 2 supervisors and one engineer have to be present at all times. (a) Using two coordinates so that (2, 1), for exam- ple, represents the event that 2 supervisors and one engineer are present, draw a diagram similar to that of Figure 3.1 showing the points of the cor- responding sample space. (b) Describe in words the events which are repre- sented by X = {(2, 2), (3, 3)}, Y = {(2, 1), (2, 2), (2, 3)} and Z = {(2, 1), (3, 1), (4, 1)}. (c) With reference to part (b), express X UY symbol- ically by listing its elements, and also express this event in words. (d) With reference to part (b), are X and Y mutually exclusive?
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