For a standard normal probability model find the conditional

For a standard normal probability model, find the conditional probability that the outcome is positive and greater than 3, given that its absolute value exceeds 2.

Solution

P(z>3 | |z|>2) = P(z>3) / P(|z|>2)

Using technology/table,

P(z>3) = 0.001349898

P(|z|>2) = P(z>2) + P(z<-2) = 0.022750132 + 0.022750132 = 0.045500264

Thus,

P(z>3 | |z|>2) = P(z>3) / P(|z|>2) = 0.001349898/0.045500264

= 0.029667917 [ANSWER]