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A traffic study conducted on an interstate highway shows that vehicle speeds (in mph) are normally...

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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