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Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean...

Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 69.3 mph and a standard deviation of 3.1 mph.

Suppose you are a police officer on this stretch of road and only have time to ticket 2% of the cars that go by you. How fast should someone be traveling before you pull them over? Round your answer to 1 decimal place.
mph

Math   Statistics-And-Probability   
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Answer #1

Given that, mean (μ) = 69.3 mph and

standard deviation = 3.1 mph

We want to find, the value of x such that, P(X > x) = 0.02

Answer : 75.7 mph

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