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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

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.

  • a. Thecurrentspeedlimitis65mph.Whatistheproportionofvehicleslessthanorequaltothespeedlimit?
  • b.Whatproportionofthevehicleswouldbegoinglessthan50mph?
  • c. A new speed limit will be initiated such that approximately 10% of vehicles will be over the speed limit. What is the new speed limit based on this criterion?
  • d. In what way do you think the actual distribution of speeds differs from a normal distribution?

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