Question

If \(Z\) is a standard normal variable, \[ P(Z>z_1)=\alpha, \] \[ P(Z<z_2)=\beta \] and \(z_2<z_1\), then a possible value of \[ P(z_2<Z<z_1) \] is

• A. \(\alpha-\beta\)
• B. \(0.5+(\alpha+\beta)\)
• C. \(1-(\alpha+\beta)\)
• D. \(|\beta-\alpha|\)

Hint:

For normal distribution questions, always remember: \[ \text{Middle Area} = 1-(\text{Left Tail}+\text{Right Tail}). \] This is often the fastest way to solve such problems.

Answer 1

The Correct Option is C