Solution :-
a)
P ( Z > 0 ) = 1 - P ( Z < 0 )
= 1 - 0.5
P ( Z > 0 ) = 0.5
b)
P ( Z < -0.75 ) = 0.2266
c)
P (-1.15 < Z < 2.04 ) = P ( Z < 2.04 ) - P ( Z < -1.15 )
= 0.9793 - 0.1251
P (-1.15 < Z < 2.04 ) = 0.8542.
d)
P ( Z > - 1.25 ) = 1 - P ( Z < - 1.25 )
= 1 - 0.1056
P ( Z > - 1.25 ) = 0.8944.
e)
The Z - Distribution of the 90 % is,
P ( Z < z ) = 90 %
P ( Z < z ) = 0.90
P ( Z < 1.28 ) = 0.90
z = 1.28
z Score Corresponding to P90 is 1.28.
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