Determine the area under the standard normal curve that lies to the left of

Determine the area under the standard normal curve that lies to the left of (a) Z-0.68, (b) Z-_ 0.87, (c) Z--0.54, and (d) Z=-1.31. Click the icon to view a table of areas under the normal curve. (a) The area to the left of Z-0.68 is (Round to four decimal places as needed.)

Answer

Solution
:

    We have to determine area under the Standard
Normal Curve that lies to the left of :

a) z = 0.68    b) z =
-0.87       c) z=
-0.54        d) -1.31

Part a) The area to the left of Z = 0.68 is
..................?

That is we have to find : P( Z < 0.68) = ..............?

To find this area we look in z table for Z = 0.6 and 0.08 and
find corresponding area.

From above z table , we can see that for z = 0.6 and 0.08 ,
correpsonding area = 0.7517

That is P( Z < 0.68 ) = 0.7517

Part b) The area to the left of Z = -0.87 is
..................?

That is we have to find : P( Z < -0.87) = ..............?

To find this area we look in z table for Z = -0.8 and 0.07 and
find corresponding area.

From above z table , we can see that for z = -0.8 and 0.07 ,
correpsonding area = 0.1922

That is P( Z < -0.87 ) = 0.1922

Part c) The area to the left of Z = -0.54 is
..................?

That is we have to find : P( Z < -0.54) = ..............?

To find this area we look in z table for Z = -0.5 and 0.04 and
find corresponding area.

From above z table , we can see that for z = -0.5 and 0.04 ,
correpsonding area = 0.2946

That is P( Z < -0.54 ) = 0.2946

Part d) The area to the left of Z = -1.31 is
..................?

That is we have to find : P( Z < -1.31) = ..............?

To find this area we look in z table for Z = -1.3 and 0.01 and
find corresponding area.

From above z table , we can see that for z = -1.3 and 0.01 ,
correpsonding area = 0.0951

That is P( Z < -1.31 ) = 0.0951