Ethan started a website. After a few months, a publishing company filed a lawsuit against his company for copyright infringement
1 answer:
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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:
Answer:
$350,000
Explanation:
Production = $200,000 number of copies
Accounting = $500,000 number of invoices processed
Personnel Department = $400,000 number of employees
These are all service cost
Total number of copies = 20,000 + 30,000 + 50,000 = 100,000
Total number of invoices processed = 700 + 800 + 500 = 2,000
Total number of employees = 130 + 145 + 125 = 400
Rate per service shall be as follows:
Production = $200,000/100,000 = $2 per copy
Cost of Super Division = $2 50,000 = $100,000
Accounting = $500,000/2,000 = $250 per invoice
Cost of Super Division = $250 500 = $125,000
Personnel Department = $400,000/400 = $1,000 per employee
Cost of Personnel Department = $1,000 125 = $125,000
Total service cost of Super Department = $100,000 + $125,000 + $125,000
= $350,000