Solution :
Given that,
mean =
=75
standard deviation =
= 0.8
n = 20
a )
= 75
=
/
n = 0.8
20 = 0.1789
b )P(
< 364 )
P (
-
/
) < ( 74.5 - 75 / 0.1789 )
P ( z < -0.5 / 0.1789 )
P ( z < -2.79 )
= 0.0026
Probability = 0.0026
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