Solution,
Given that,
Using standard normal table,
P( Z > z ) = 0.9875
= 1 - P( Z < z ) = 0.9875
= P( Z < z ) = 1 - 0.9875
= P( Z < z ) = 0.0125
see the probability 0.0125 in standard normal corresponding the z-score is = -2.24
= P(Z < -2.24 ) = 0.0125
= P(Z > -2.24) = 0.9875
z-score = -2.24
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