Select the correct answer.
2 answers:
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Answer: <em><u>Cash to be distributed to Harding = $ 17000, Jones = $ 3000 </u></em>
Explanation:
It has been indicated that the ($9,000) deficit will be covered with a forthcoming contribution
∴ The Remaining Capital Balance is = (24000 + 24000) = $48000
∵Total cash Available = $20000
Loss = 48000 - 20000 = $ 28000
Loss will be shared between Harding & Jones in ratio = 16:48
∴ Harding Capital balance = = $ 17000
∴ Jones Capital balance = = $ 3000
Cash will be Distributed in their capital balance ratio
Therefore,
<u><em>Cash to be distributed to Harding = $ 17000, Jones = $ 3000 </em></u>
Answer:
a)
And we can use excel or the normal standard table to find this probability:
b)
And we can use excel or the normal standard table to find this probability:
c)
And we can use excel or the normal standard table to find this probability:
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the scores for critical reading of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability:
Part b
Let X the random variable that represent the scores for Math of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=90, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability:
Part c
Let X the random variable that represent the scores for Writing of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample of size n=100, since the distribution for X is normal then the distribution for the sample size is also normal
And for this case we want this probability:
And for this case we can use the z score given by:
And if we use this formula we got:
And we can use excel or the normal standard table to find this probability: