Question

sepidks tie Find lhe indicated zsore. The graph depicts the etandard noral dietr bution with mearn 0 and standard deviatio 1 The indicated z 9**re is Round to two decimal placas as neaded

Answer 1

Here,

Z ~ Normal(0,1)

To find z₀ such that

$P(Z>z_0) = 0.1230$

$\Rightarrow 1 - P(Z\leq z_0) = 0.1230$

$\Rightarrow P(Z\leq z_0) = 1 - 0.1230 = 0.877$

$\Rightarrow \Phi(z_0) = 0.877$

$\Rightarrow z_0= \Phi^{-1}(0.877)$

$\Rightarrow z_0= 1.16012$(ans)