Question

Use a table of cumulative areas under the normal curve to find the​ z-score that corresponds to the given cumulative area. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. If​ convenient, use technology to find the​ z-score. .051

Answer 1

We have to find the z score ,under which the area is given as 0.051.

We have to use a table of cumulative areas under the normal curve to find z-score that corresponds to the area 0.051.

Now from table we can see,

Under z-score= -1.63 cumulative area is 0.05155

And under z-score=-1.64 cumulative area is 0.05055

Now ,if we take the average of this two areas,

(0.05155+0.05055)/2 =0.051

So the required area lies between this two area.

So the required z score is average of -1.63 & -1.64

So required z-score is -(1.63+1.64)/2 = -1.635