Suppose a radar device tracks the speeds of cars traveling through a city intersection. After recording the speeds of ov 10,000 different cars, local police determine that the speeds of cars through this intersection, in kilometers per hour, follow a normal distribution with a mean µ = 45 and standard deviation o = 5. The area under the normal curve between 40 and 50 is equal to 0.68. Select all of the correct interpretations regarding the area under the normal curve. The probability that a randomly selected car is traveling between 40 and 50 km/h is equal to 0.68. In any sample of cars from this city intersection, 68% travel between 40 and 50 km/h. In the long run, 68% of cars passing through this city intersection travel either 5 or 45 km/h. The proportion of cars traveling slower than 50 km/h is equal to 0.68.

MATLAB: An Introduction with Applications
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Suppose a radar device tracks the speeds of cars traveling through a city intersection. After recording the speeds of over
10,000 different cars, local police determine that the speeds of cars through this intersection, in kilometers per hour,
follow a normal distribution with a mean μ = 45 and standard deviation 6 = 5. The area under the normal curve
between 40 and 50 is equal to 0.68.
Select all of the correct interpretations regarding the area under the normal curve.
The probability that a randomly selected car is traveling between 40 and 50 km/h is equal to 0.68.
In any sample of cars from this city intersection, 68% travel between 40 and 50 km/h.
In the long run, 68% of cars passing through this city intersection travel either 5 or 45 km/h.
The proportion of cars traveling slower than 50 km/h is equal to 0.68.
The long-run proportion of all cars traveling between 40 and 50 km/h is equal to 0.68.
Transcribed Image Text:Suppose a radar device tracks the speeds of cars traveling through a city intersection. After recording the speeds of over 10,000 different cars, local police determine that the speeds of cars through this intersection, in kilometers per hour, follow a normal distribution with a mean μ = 45 and standard deviation 6 = 5. The area under the normal curve between 40 and 50 is equal to 0.68. Select all of the correct interpretations regarding the area under the normal curve. The probability that a randomly selected car is traveling between 40 and 50 km/h is equal to 0.68. In any sample of cars from this city intersection, 68% travel between 40 and 50 km/h. In the long run, 68% of cars passing through this city intersection travel either 5 or 45 km/h. The proportion of cars traveling slower than 50 km/h is equal to 0.68. The long-run proportion of all cars traveling between 40 and 50 km/h is equal to 0.68.
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