Question 1208267: Good day. please help me solve this problem.
The table below lists the distribution of employees in various departments at the "Tech Future" company.
Department Male Female
Software Design 700 900
Hardware Design 300 550
Marketing 800 500
Human Resources 40 60
If an employee is selected at random, what is the probability that the employee is:
i. A Software Design employee? [2 Marks]
ii. A male employee and working in Hardware Design? [3 Marks]
iii. Working in Marketing, given that the employee is female? [3 Marks]
iv. A male employee? [2 Marks]
v. Working in Marketing or Human Resources? [3 Marks]
vi. A male or female employee? [3 Marks]
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
Put one more column and one more row on your chart
for Totals Across and Totals Down. The total of
totals will be equal in the lower right hand corner.
Department Male Female | Totals Across
----------------------------------|--------------
Software Design 700 900 | 1600
Hardware Design 300 550 | 850
Marketing 800 500 | 1300
Human Resources 40 60 | 100
----------------------------------|--------------
Totals down 1840 2010 | 3850
That makes it easy to answer any of those:
Just find how many in each category and put it over 3850.
I'll do iii for you:
iii. Working in Marketing, given that the employee is female?
500/3850 = 10/77 = 0.1298701299 = 12.99%, approximately.
Edwin
Answer by ikleyn(52772)  (Show Source):
You can put this solution on YOUR website! .
Good day. please help me solve this problem.
The table below lists the distribution of employees in various departments at the "Tech Future" company.
Department Male Female
Software Design 700 900
Hardware Design 300 550
Marketing 800 500
Human Resources 40 60
If an employee is selected at random, what is the probability that the employee is:
i. A Software Design employee? [2 Marks]
ii. A male employee and working in Hardware Design? [3 Marks]
iii. Working in Marketing, given that the employee is female? [3 Marks]
iv. A male employee? [2 Marks]
v. Working in Marketing or Human Resources? [3 Marks]
vi. A male or female employee? [3 Marks]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The solution in the post by Edwin for part (iii) is incorrect.
I came to bring solutions for all parts, including my update for part (iii).
Put one more column and one more row on your chart
for Totals Across and Totals Down. The total of
totals will be equal in the lower right hand corner.
Department Male Female | Totals Across
----------------------------------|--------------
Software Design 700 900 | 1600
Hardware Design 300 550 | 850
Marketing 800 500 | 1300
Human Resources 40 60 | 100
----------------------------------|--------------
Totals down 1840 2010 | 3850
For all questions in this post,
the probability is the ratio
of the number of elements in the selected subset
to the number of elements in the basic subset.
So, every time your task is to determine correctly
what is the selected subset and what is the basic subset,
and then to take the corresponding numbers from the table.
(i) The basic subset is the whole set of 3850 employees.
The selected subset is the set of Software Design employees of 1600 persons (total in the
line "Software Design" of the Table). THEREFORE
P =  =  . ANSWER
(ii) The basic subset is the whole set of 3850 employees.
The selected subset is the intersection of the column "Male" and the row "Hardware Design"
of 300 persons. THEREFORE
P =  =  . ANSWER
(iii) Since they say "given that the employee is female", the basic subset is the set of Females
(second column, 2010 employees).
The selected subset is the sell in the intersection of the row "Marketing" and the column
"Female". The number in this sell is 500. THEREFORE
P =  = 0.2488 (rounded). ANSWER
Total Male 1840
(iv) P = ----------------- = ------- = 0.4779 (rounded). ANSWER
Total Employees 3850
(v) The basic subset is the whole set of 3850 employees.
The selected set is the union of two disjoint subsets "Marketing" and "Human resources".
THEREFORE
Total Marketing + Total HR 1300+100 1400
P = ----------------------------- = ---------- = ------- = 0.3636 (rounded). ANSWER
Total employees 3850 3850
(Vi) The answer is 1, without any calculations. It is to check your common sense.
In whole, this assignment (and million other similar assignments) are trivial exercises.
Their major goal is to check if you are able read and understand English
and to make simplest mental conclusions from what you read and what is given to you.
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In the future, please do not include so many questions into your post.
Otherwise, it will be difficult for you to read a tutor's response to the end.
I just do not say that it will be difficult for you to understand and to absorb a tutor's response.
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