Let a be the number such that the area to the right of z = a is 0.21. Find the area between z = –a and z = a.
A. 0.21 B. 0.42
C. 0.58 D. None of the above.
Given,
P(Z > z) = 0.21
That is
P(Z < z) = 1 - 0.21
P(Z < z) = 0.79
Now,
P(-z < Z < z) = p(Z < z) - P(Z < -z)
= P(Z < z) - ( 1 - P(Z < z) )
= 0.79 - ( 1 - 0.79)
= 0.58
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