A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?
(c) Are the events in part (a)(i) complementary or mutually exclusive or both
Answers
Using the probability concept, it is found that:
a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.
b) The events are neither complementary nor mutually exclusive.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.
Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:[tex]p = \frac{118}{2000} = 0.059[/tex]
There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
Item ii:
2000 - 302 = 1698 people are not in management, hence:
[tex]p = \frac{1698}{2000} = 0.849[/tex]
There is a 0.849 = 84.9% probability that the first person selected is not in management.
Item b:
If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.
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Following are the solution to the given points:
For point a:
i)
[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]
Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.
[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]
[tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]
ii)
[tex]\to P(D^c) = 1 - P(D)[/tex]
[tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]
For point b:
Please find the attached file.
For point c:
Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.
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Step-by-step explanatio
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Answer:
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9x - 4= 2x + 3
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Answers
Answer:
x = 1
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A bride is choosing a dress for her bridesmaids. If there are 4 styles, 7 colors, and 5 fabrics, in how many ways can she select the bridesmaids' dress?
Answers
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Answers
Answer:
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The second choice provides the correct answer.
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The Volume of a Sphere
The volume of a sphere of radius r is given by:
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Answers
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Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
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sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
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∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
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sin73
6.6sin71
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Let's break this down...
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Answers
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correct on edg
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The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
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y = cos(2x)
The x-intercept of the equation in the interval 0 ≤ x < 2π will be given as,
y = 0
cos(2x) = 0
cos 2x = cos (n + 1) π/2
2x = (n + 1)π / 2
x = (n + 1)π / 4
x = π/4, 3π/2, 5π/4, 7π/4
The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.
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Answers
Answer:
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Step-by-step explanation:
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Gina reads 30 pages per day.
Step-by-step explanation:
-3x/2+4=16
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Answers
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The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass?
Answers
The mass per cup for the objects will be 320g and 272g respectively.
What is mass?Mass simply means the weight that an object contains.
The mass of a teapot and 4 cups is 1,280 grams. The mass per cup will be:
= Mass / Number of cups
= 1280 / 4
= 320g
The mass of the same teapot and 10 cups is 2,720 grams. The mass per cup will be:
= 2720 / 10
= 272g
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