Planes X and Y and points C, D, E, and F are shown.
2 answers:
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Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
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".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Answer:
$27,643
Step-by-step explanation:
The net present value is the present value of after tax cash flows from an investment less the amount invested.
The formula for the NPV can be found in the attached image.
The NPV can be found using a financial calculator:
The cash flow for year zero = $-36,000
Cash flow from year one to three = $19,000
Cash flow for year four =$19,000 + $5,000 = $24,000
I = 10%
NPV = $27,643
I hope my answer helps you
