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2 answers:
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Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
That correspond to approximate 6.44%
b)
And we can find this probability using the normal standard table or excel and we got:
That correspond to approximate 19.2%
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 BMI 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 and we got:
That correspond to approximate 6.44%
Part b
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 and we got:
That correspond to approximate 19.2%
Answer:
Step-by-step explanation:
Given that zeroes of a polynomial are
-3, -1, 1, 4
Degree of the polynomial is 4
Also leading coefficient is 1.
So we find easily the polynomial
Since polynomial is 0 at the given four points the polynomial is a product of
Since leading coefficient is given to be 1 we need not multiply an arbitrary constant a
so the required polynomial is