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**

.05 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5れ9 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 0.2 .5793 .5832 .5871 5910 5948 .5987 .6026 .6064 .6103 .6141 14SA 6915 .6950 .6985 .7019 .7054 .7088 7123 7157 .7190 7224 7517 7549 0.6 0.7 7580 0.8 .7881 .7910 7939 .79677995 .8023 .8051 .8078 . 0.9 8159 .8186 .8212 .8238 .8264 .8289 .8315 8340 8365 8389 8106 8133 .8413 .8438 .8461 .848

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