SOLUTION: "If the random variable z is the standard normal score and a > 0, is it true that P9z > -a) = P9z < a)"

Algebra ->  Probability-and-statistics -> SOLUTION: "If the random variable z is the standard normal score and a > 0, is it true that P9z > -a) = P9z < a)"       Log On


   

Question 641370: "If the random variable z is the standard normal score and a > 0, is it true that P9z > -a) = P9z < a)"
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"If the random variable z is the standard normal score and a > 0, is it true that P(z > -a) = P(z < a)"
---
Draw a normal curve with "z" as the horizontal axis.
---
Put z = zero in the center of the horizontal axis.
---
Choose some arbitrary a > 0; mark it on the axis.
---
Mark z = -a to the left of z = 0.
---
Question: Is the area to the right of -a equal to the area to the left of +a?
Answer: Yes
=======================
Cheers,
Stan H.