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Komok [63]
3 years ago
10

Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personn

el manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 200 managers, 300 factory workers, and 900 miscellaneous staff, find the following probabilities, leaving the answers as formulas.
(a) All the managers will be offered the opportunity.
C(___,___)
C(___,___)
(b) You will be offered the opportunity.
C(___,___)
C(___,___)
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

Probability of 100 managers being selected= 100C100*1100C800/1200C900

Probability of selecting just one manager = 1C100*1199C899/1200C900

Explanation:

Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

We use combination since order doesn't matter:

Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

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Step-by-step explanation:

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In a jar, there is a green, a blue, and a red marble. You draw (with replacement) a marble from the jar until you get the green
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Answer:

The value is P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}

Step-by-step explanation:

From question we are told that

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Generally the probability of drawing a green marble is  

     P(g) =  \frac{1}{3}

Generally the probability of drawing a marble that is not green is  

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From the question we are told that there will be continuous drawing of marbles from the jar (in such a way that after each marble is drawn it is being replaced) until a green marble drawn

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it then means that for m - 1 times the marbles where drawn a green marble was not obtain.

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=>  P( X = m ) = (\frac{2}{3} )^{m-1 } * \frac{1}{3}

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