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I'm copying this from someone else's answer, here it goes
75.8% "exceed" is the same as 100% - 75.8% = 24.2% do not exceed
P(Z < z*) = 0.242 has a z* = -0.70 from Standard Normal table.
Hence the ans is 5.5 + (-0.70)(1) = 4.8 minutes.
So, 75.8% of students exceed 4.8 minutes.
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