Solution :
Given that ,
mean =
= 69.5
standard deviation =
= 2.33
P(67< x < 70.7) = P[(67 -69.5) / 2.33< (x -
) /
< (70.7 -69.5) /2.33 )]
= P(-1.07 < Z <0.52 )
= P(Z <0.52 ) - P(Z <-1.07 )
Using z table
= 0.6985 -0.1423
probability= 0.5562
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