SOLUTION: Suppose Z is a standard normal random variable. If P(-z < Z < z) = 0.5588, find z. Find P( -2.46 < Z < -0.16) Some did it but wasn't right Please help Thank you so much

As P(- z < Z < z) = 0.5588, .5588 is the center interval beneath the bell curve

Therefore, to the left of the P(Z), probability = 1 - .5588, or .4412

This probability represents the TOTAL probabilities of the left and right tails

We now take the AVERAGE of this probability to get 

Using a calculator, excel, or other applications, you'll find that the z-score that represents a probability (to the left of the curve) of .2206 is: - 0.77,

which means that: . This is close enough.