# Question

Suppose that on a certain section of I-95 with a posted speed limit of 65 mph, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph.

a. Using the empirical rule, find the percentage of vehicles with the following speeds on this section of I-95.

i. 63 to 81 mph

ii. 69 to 75 mph

b. Using the empirical rule, find the interval that contains the speeds of 95% of vehicles traveling on this section of I-95.

a. Using the empirical rule, find the percentage of vehicles with the following speeds on this section of I-95.

i. 63 to 81 mph

ii. 69 to 75 mph

b. Using the empirical rule, find the interval that contains the speeds of 95% of vehicles traveling on this section of I-95.

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