Question

Determine the area under the standard normal curve that lies between left parenthesis a right parenthesis Upper Z equals negative 0.93 and Upper Z equals 0.93​, ​(b) Upper Z equals negative 0.32 and Upper Z equals 0​, and​ (c) Upper Z equals negative 0.37 and Upper Z equals 0.87. The area that lies between Upper Z equals negative 0.93 and Upper Z equals 0.93 is?

Answer 1

solution;

Given that

A ) P ( - 0..93< Z < 0.93 )

= P ( Z < 0.93 ) - P ( Z < -0.96 )

Using standard normal table

= 0.8238 - 0.1762

= 0.6476

The area under the standard normal = 0.6476

B ) P ( - 0..32< Z < 0. )

= P ( Z < 0 ) - P ( Z < -0.32 )

Using standard normal table

= 0.5000 - 0.3745

= 0.1255

The area under the standard normal = 0.1255

C ) P ( 0..37 < Z < 0.87 )

= P ( Z < 0.87 ) - P ( Z < 0. 37 )

Using standard normal table

= 0.8078 - 0.6443

= 0.1635

The area under the standard normal = 0.1635