Question

( PLEASE TYPE THE STEPS IF THAT'S POSSIBLE ) Suppose vehicle speeds at a highway location...

( PLEASE TYPE THE STEPS IF THAT'S POSSIBLE )

Suppose vehicle speeds at a highway location have a normal distribution with mean of 65 mph and standard deviation of 5 mph.

  1. What is the probability that a randomly selected vehicle speed is greater than 73 mph?
  2. Calculate the 60th percentile of the vehicle speed?
  3. Using the same standard deviation 5 mph, find the mean speed of all vehicles if the probability that the speed is greater than 73 mph is only 0.015?
  4. What is the probability that the mean speed 16 randomly selected vehicles is between 61 and 68 mph?

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