SOLUTION: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1

SOLUTION: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P(z < a)? Why or why not? (Points : 3)

Question 557198: If the random variable z is the standard normal score and a > 0, is it true that P(0 < z < a) = 1 - P(z < a)? Why or why not?
(Points : 3)

Answer by stanbon(75887) (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(0 < z < a) = 1 - P(z < a)? Why or why not?
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Draw a normal curve.
Put "a" at a point between 0 and +oo
Shade the area over the interval (0,a).
Notice that there are TWO areas under the curve
that are not shaded.
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Ans: No.
P(0 < z < a) = P(z < 0)+ [1 - P(z < a)]
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Cheers,
Stan H.
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