MS 150 Statistics Quiz 06 6.2 • Name:

Fifty speed measurements were made of cars on the road in Pohnpei. The mean speed was 44 kph with a standard deviation of 14 kph. Presume that the distribution of car speeds is normal. Note that the distribution of car speeds is not usually normal, just pretend that it is normal for this exercise.

  1. p(speed > 44) = __________ What is the probability that the speed of a car is greater than 44 kph?
  2. p(speed < 16) = __________ What is the probability that the speed of a car is less than 16 kph?
  3. p(30 < speed < 44) = __________ What is the probability that the speed of a car is between 30 and 44 kph?
  4. p(speed > 58 kph) = __________ What is the probability that the speed of a car is greater than 58 kph?

areas under the standard normal curve ± 4 standard deviations