5.7 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 (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 rolusive?
5.7 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 (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 rolusive?
A First Course in Probability (10th Edition)
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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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Please tell me the detailed steps to solve the a,b,c problems
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?
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
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