Given that
2 answers:
You might be interested in
Answer:
a)
And we can find this probability using the normal standard table or excel:
b)
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
c)
And we can find this probability using the complement rule and the normal standard table or excel:
d) We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual
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".
Part a
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
Part b
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Part c
And we can find this probability using the complement rule and the normal standard table or excel:
Part d
We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual
Question is Incomplete;Complete question is given below;
Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.
What is his net pay?
Enter the answer to the nearest hundredth, such as $1234.56.
Answer:
Brian's Net pay is $945.08.
Step-by-step explanation:
Given:
Gross earnings for the week = $1227.38
Deductions = 23%
We need to find the net pay.
Solution:
First we will find the amount deducted.
amount deducted is equal to Deductions on Gross pay.
framing in equation form we get;
amount deducted =
Now we can say that;
Net pay is equal to Gross earnings minus amount deducted in tax.
framing in equation form we get;
Net pay =
Rounding to nearest hundred we get;
Net pay = $945.08
Hence Brian's Net pay is $945.08.