3. Suppose that on a certain section of SRP with a posted speed limit of 65 kph(kilometers per hour), the speeds of all vehicles have a bell-shaped distribution with a mean of 72 kph and a standard deviation of 3 kph. a) Using the empirical rule, find the percentage of vehicles with the following speeds on this section of SRP. i. 63 to 81 kph ii. 69 to 75 kph b) Using the empirical rule, find the interval that contains the speeds of 95% of vehicles travelling on this section of SRP.

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3. Suppose that on a certain section of SRP with a posted speed limit of 65
kph(kilometers per hour), the speeds of all vehicles have a bell-shaped distribution
with a mean of 72 kph and a standard deviation of 3 kph.
a) Using the empirical rule, find the percentage of vehicles with the following
speeds on this section of SRP.
i. 63 to 81 kph
ii. 69 to 75 kph
b) Using the empirical rule, find the interval that contains the speeds of 95% of
vehicles travelling on this section of SRP.
Transcribed Image Text:3. Suppose that on a certain section of SRP with a posted speed limit of 65 kph(kilometers per hour), the speeds of all vehicles have a bell-shaped distribution with a mean of 72 kph and a standard deviation of 3 kph. a) Using the empirical rule, find the percentage of vehicles with the following speeds on this section of SRP. i. 63 to 81 kph ii. 69 to 75 kph b) Using the empirical rule, find the interval that contains the speeds of 95% of vehicles travelling on this section of SRP.
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