Question

Solve for the area of the region under the normal curve that corresponds between the given z=values. Show your solution.

1. between z= -2.5 and z=2

2. between z= 1.05 and z=3

3. between z=0 and z=2.15

4. between z=-2 and z=-1

Answer 1

1.) $P(-2.5<Z<2)$

$= P(-2.5<Z<0)+P(0<Z<2)$

$= P(0<Z<2.5)+P(0<Z<2)$

$= 0.97104$

2.)$P(1.05<Z<3) = 0.14551$

3.)$P(0<Z<2.15) = 0.48$

4.)$P(-2<Z<-1)$

$= 0.135$