Question

In: Statistics and Probability

Let z denote a variable that has a standard normal distribution. Determine the value z* to...

Let z denote a variable that has a standard normal distribution. Determine the value z* to satisfy the following conditions. (Round all answers to two decimal places.)

(a) P(z < z*) = 0.0244
z* =   

(b) P(z < z*) = 0.0097
z* =  

(c) P(z < z*) = 0.0484
z* =  

(d) P(z > z*) = 0.0208
z* =  

(e) P(z > z*) = 0.0097
z* =  

(f) P(z > z* or z < −z*) = 0.2043
z* =


Solutions

Expert Solution

You can get these numbers on the z-score table.

(a) P(z < z*) = 0.0244
z* = -1.97033

(b) P(z < z*) = 0.0097
z* = -2.33775

(c) P(z < z*) = 0.0484
z* = -1.66057

(d) P(z > z*) = 0.0208
z* = 2.0375

(e) P(z > z*) = 0.0097
z* = 2.33775

P(z > z* or z < −z*) = 0.2043
z* = 1.2694


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