Suppose speeds of vehicles on a particular stretch of, Basic Statistics

Suppose speeds of vehicles on a particular stretch of

Question: Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean 36.6 mph and standard deviation 1.7 mph.

a. Find the probability that the speed X of a randomly selected vehicle is between 35 and 40 mph.

b. Find the probability that the mean speed X¯ of 20 randomly selected vehicles is between 35 and 40 mph.

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