Solution :
Given that,
mean = = 63.5
standard deviation = = 2.55
n=75
= =63.5
= / n = 2.55/ 75 = 0.294
P( >64 ) = 1 - P( <64 )
= 1 - P[( - ) / < (64-63.5) /0.294 ]
= 1 - P(z <1.70 )
Using z table
= 1 - 0.9554
probability= 0.0446
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