Nancy Gerald, production control manager at The Open-Pit Furnace Co., has a total of $497.25 deducted from her monthly paycheck
1 answer:
Missing portion in question:
Tax rate for Social Security and Medicare for the company The Open-Pit Furnace Co. is not given in the question. Usually these taxes apply on following rate:
Social Security Tax Rate = 6.2%
Medicare Tax Rate = 1.45%
Answer:
$6,500
Step-by-step explanation:
Total deducted amount from her salary was $497.25 i.e. some of the taxes for social security and medicare. If these taxes are on the rate mentioned above, total salary can be calculated.
Total deduction = (6.2%+1.45%) of the salary
497.25=7.65% of the salary
Let the total salary = $x
So, her monthly salary is $6500
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Answer:
Step-by-step 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".
Solutio to the problem
Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:
Where and
For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.
The definition of sample mean is given by:
If we solve for the total T we got:
For this case then the expected value and variance are given by:
And the deviation is just:
So then the distribution for the total would be also normal and given by:
And we want this probability:
And we can use the z score formula given by: