It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).
Answer:
i have attached the graph below!
Step-by-step explanation:
Have a nice day! Hope I helped! Please mark brainliest!
We have:
Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:
We clear f(x):
we simply what we can:
Thus, the correct answer is;
Here you go. Let me know if you have questions
Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 3| 4.5 - 2| - 5 |-1.5 -(- 3)| =
- 3 |2.5| -5 |-1.5 + 3| =
- 3*2.5 - 5|1.5| =
- 7.5 - 5*1.5 =
- 7.5 - 7.5=
- 0
