Questionفيما يلي التوزيع الاحتمالي لارباح شركه المجد التجاريه و شركه النور التجاريه خلال السنه القادياحـه القاريه.
\begin{tabular}{|c|c|c|c|}
\hline \begin{tabular}{l}
الربح ( ق ) \\
شركه النور \\
التجاريه
\end{tabular} & \begin{tabular}{l}
الربح (ق) \\
شركه المجد \\
التجاريه
\end{tabular} & \begin{tabular}{l}
احتمال \\
الحدوث ( ح )
\end{tabular} & \begin{tabular}{l}
الحاله \\
الاقتصاديه
\end{tabular} \\
\hline 400 & \begin{tabular}{l}
300 الف \\
دينار
\end{tabular} & \begin{tabular}{l}
\end{tabular} & عاديه \\
\hline \begin{tabular}{l}
700 الف \\
دينار
\end{tabular} & \begin{tabular}{l}
700 الف \\
دينار
\end{tabular} & 50\% & ازدهار \\
\hline \begin{tabular}{l}
900 الف \\
دينار
\end{tabular} & \begin{tabular}{l}
800 الف \\
دينار
\end{tabular} & & تضخم \\
\hline
\end{tabular}
بالاعتماد على المعلومات اعلاه فان العائد ( القيمه) المتوقعه لشركه المجد التجاريه يساوي
Select one:
a. 42500
b. 40500
c. 32500
d. 33000
Studdy Solution
STEP 1
1. Probability distribution for the profits of both companies is given.
2. We need to calculate the expected value (mean) of the profit for شركة المجد التجارية.
3. Expected value is calculated using the formula: , where are the profits and are the associated probabilities.
STEP 2
1. Extract the profits and corresponding probabilities for شركة المجد التجارية.
2. Apply the formula for expected value.
3. Compute the expected value.
STEP 3
Extract the profits for شركة المجد التجارية and their corresponding probabilities from the table.
The profits (in thousand dinars) and probabilities are:
- 300 at 20%
- 700 at 50%
- 800 at 30%
STEP 4
Apply the formula for expected value , where are the profits and are the probabilities.
STEP 5
Calculate each term in the summation:
STEP 6
Sum the calculated terms to find the expected value:
Therefore, the expected value of the profit for شركة المجد التجارية is 650 thousand dinars.
STEP 7
Convert the expected value to the same units as the choices given (assuming the choices are in dinars and the expected value is in thousand dinars):
However, since the expected value given is already in thousands, the unit conversion step seems unnecessary. The answer should be directly considered as 650 in thousands.
Check the provided options to match the format:
a. 42500
b. 40500
c. 32500
d. 33000
None of the provided options match 650 thousand dinars, which suggests a possible misunderstanding of the units or a need for verification of the problem context.
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