If the random variable z is the standard normal score and a 0, is it true that P(z -a) = P(z

Question

If the random variable z is the standard normal score and a > 0, is it true that P(z > -a) = P(z < a)?  Why or why not?

The answer someone gave me was False as there is a distribution in negative side even. why would it be even?

lena772 · Answer

I'm not sure if your question is complete.

andijo76 · Answer

I have two questions this is what they say 

If the random variable z is the standard normal score and a > 0, is it true that P(z > -a) = P(z < a)?  Why or why not?

&

Find the (two) z-scores that bound the middle 40% of the standard normal distribution.