Question

Find the area under the standard normal curve that lies outside the interval between following two values. Round the answers to at least four decimal places. (a)Find the area under the standard normal curve that lies outside the interval between -1.43 and 1.34.

Answer 1

A = 0,16644

Explanation:

The area (A₁) under the bell shape curve, from the left tail up to the point ( z score) 1,34 is:

For z (score ) = 1,34 A₁ = 0,9099

The area A₂ from the left tail up to z = -1,43 is

A₂ = 0,07634

Area A₂ is inside area A₁, the area A₃ inside the points - 1,43 and 1,34 is

A₃ = A₁ - A₂

A₃ = 0,9099 - 0,07634

A₃ = 0,83356

Finally area outside the interval - 1, 43 and 1,34 is A ( the area we were looking for) is

A = 1 - A₃

A = 1 - 0,83356

A = 0,16644