A traffic study conducted on an interstate highway shows that
vehicle speeds (in mph) are normally distributed with a mean of
61.3 and a standard deviation of 3.3.
a) Sketch the distribution of vehicle speeds.
Show 3 steps of standard deviation above and below the mean.
b) If a vehicle is randomly checked, what is the
probability that its speed is greater than 70? Include a
sketch.
c) If 5 vehicles are randomly sampled, what is
the probability that their mean speed is greater than 70? Include a
Sketch.
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