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What proportion of the vehicles would be going less than 50 mph?

01 / 10 / 2021 Assignment

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Assume the speed of vehicles along a
stretch of I-10 has an approximately normal distribution with a mean of 71 mph
and a standard deviation of 8 mph.

http://stattrek.com/online-calculator/normal.aspx

The current speed limit is 65 mph.

a. What proportion of
vehicles travel less than or equal to the speed limit?

b. What proportion of
the vehicles would be going less than 50 mph?

c. A new speed limit
(X) will be initiated such that approximately 10% of vehicles will be over the
speed limit.

What is the new speed limit (X) based on
this criterion?



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