Question

Find the proportion of the area above z = -1

Answer 1

Answer:

To find the percentage of the area that lies "above" the z-score, take the total area under a normal curve (which is 1) and subtract the cumulative area to the left of the z-score.

Step-by-step explanation:

Answer 2

Answer:

The proportion of the area above $z=-1$ is $0.8413$ or $84.13$$%$%.

Step-by-step explanation:

1. Sketch the normal distribution and indicate the mean. This mean coincides with $z=0.$
2. Identify the region under the curve by drawing a vertical line through $z=-1.$
3. Shade the required region.
4. Determine the area of the shaded region. The region suggests addition of areas. Form the z Table, read the area associated with the given $z$ value.

        $z=1$ ↔ $0.3413$

       Compute the area and express the result as probability.

       $P(z > -1)=0.3413+0.5000=0.8413$ or $84.13$%.

       Thus, the proportion of the area above $z=-1$ is $0.8413$ or $84.13$$%$%.