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Answer :

Remember that

z =(x - μ)/σ

where

μ=166.9 min

σ=76.1 min

For x=14.7 min

z1=(14.7-166.9)/76.1

z1=-2

For x=90.8 min

z2=(90.8-166.9)/76.1

z2=-1

Using a z-score table values

we have that

P(14.7 < X < 90.8)=0.13591

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