document.write( "Question 1208267: Good day. please help me solve this problem.
\n" ); document.write( "The table below lists the distribution of employees in various departments at the \"Tech Future\" company.\r
\n" ); document.write( "\n" ); document.write( "Department Male Female
\n" ); document.write( "Software Design 700 900
\n" ); document.write( "Hardware Design 300 550
\n" ); document.write( "Marketing 800 500
\n" ); document.write( "Human Resources 40 60\r
\n" ); document.write( "\n" ); document.write( "If an employee is selected at random, what is the probability that the employee is:
\n" ); document.write( "i. A Software Design employee? [2 Marks]
\n" ); document.write( "ii. A male employee and working in Hardware Design? [3 Marks]
\n" ); document.write( "iii. Working in Marketing, given that the employee is female? [3 Marks]
\n" ); document.write( "iv. A male employee? [2 Marks]
\n" ); document.write( "v. Working in Marketing or Human Resources? [3 Marks]
\n" ); document.write( "vi. A male or female employee? [3 Marks] \r
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Algebra.Com's Answer #846580 by ikleyn(52782) $\"\"$ $\"About$

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