Answer:
Step-by-step explanation:
Given that z1 be a Z score that is unknown but identifiable by position and area.
Also given that the symmetrical area between a negative z1 value and a positive z1 value in a standard normal distribution is 0.9544
This can be written as
[tex]P(|z|<z1) = 0.9544\\P(Z<z1) = \frac{0.9544}{2} =0.4772[/tex]
(Because of symmetry about the mean we have double area on either side)
From std normal table we can find z1 as
[tex]z_1 =2.0[/tex]
