Question

About % of the area under the curve of the standard normal distribution is outside the interval Z = (-0.77,0.77) (or beyond 0.77 standard deviations of the mean). Please show your answer to 2 decimal places show on how to imnput on graphing calculator

Answer 1

Solution:

Cosider the standard normal variable z.

Area outside the interval  Z = (-0.77,0.77)

= 1 - {Area between Z= -0.77 and  Z = 0.77 }

= 1 - {P(-0.77 Z 0.77) }

Use graphing calculator to find {P(-0.77 Z 0.77)

Press 2nd and then press VARS

Go to normalcdf

normalcdf(-0.77,0.77,0,1)

So , to find the answer of given question , on graphing calculator

1 - normalcdf(-0.77 , 0.77 , 0 , 1)

= 0.441299892685

= 0.4413

= 44.13 %

Answer : 44.13 %