A 3rd degree binomial with a constant term of 8
2 answers:
Answer:
Step-by-step explanation:
A binomial expression has two terms. For example, 4x + 5,
The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.
Now, third degree binomial with constant term 8 =
As it has two terms where first term is and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.
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Answer:
And we can find this probability with the following difference and using the normal standard table or excel we have:
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 variable of interest 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 with the following difference and using the normal standard table or excel we have: