Question

Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank.
(a)-About​ ______% of the area is between z= -1 and z=1 ​(or within 1 standard deviation of the​ mean).
(b)-About nothing​% of the area is between z=-1 and z=1 ​(or within 1 standard deviation of the​ mean). ​(Round to two decimal places as​ needed.)

Answer 1

Answer:

Step-by-step explanation:

A standard normal distribution is unimodal, with mean =median=mode.

It is symmetrical about the mean with mean =0 and std devition =1

Normally std normal variate is denoted by N(0,1)

The normal distribution is a special distribution with the property that more than 99% lie within 3 std deviations from the mean.

and 68% lie within 1 std deviations from the mean'

About​ __68.26____% of the area is between z= -1 and z=1 ​(or within 1 standard deviation of the​ mean).

(b)0.68 of the area is between z=-1 and z=1 ​(or within 1 standard deviation of the​ mean). ​(Round to two decimal places as​ needed.)