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:
y=-12/11
Step-by-step explanation:
y-(-12/11)=0(x-(-12/13))
y+12/11=0(x+12/13)
y+12/11=0
y=-12/11
Since the slope equals 0, then the line is horizontal.
Answer:
x = 1 and x = 
Step-by-step explanation:
In this equation, a=5, b=-1, c=-4.
Plug these into the quadratic formula:
x =
and x = 
Now, simplify the equations:
x =
=
=
= 1
and
x =
=
=
= 
Answer:
C
Step-by-step explanation:
Add all the schools together, then divide by 5
5805/5
Answer:
Below<3
Step-by-step explanation:
Type a : 55 75
Type b:48 22
= P(Male | Type B)> P(Male or Type B)