A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes.
a. What percentage of the people in line waited for more than 20 minutes?
P(X>20)=P(X−204>20−204)=P(Z>0)=1−Φ(0)=0.5P\left( X>20 \right) =P\left( \frac{X-20}{4}>\frac{20-20}{4} \right) =P\left( Z>0 \right) =1-\varPhi \left( 0 \right) =0.5P(X>20)=P(4X−20>420−20)=P(Z>0)=1−Φ(0)=0.5
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