Question

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the distribution's standard deviation? Select one: a. 8.66 minutes b. 75 minutes c. 135 minutes d. 270 minutes

Answer 1

a. 8.66 minutes

Explanation:

Since the flight times are uniformly distributed, the standard deviation can be calculated as follows:

`\sigma = (b-a)/(√(12))`

Where 'b' is the maximum flight time (150 minutes) and 'a' is the minimum flight time (120 minutes):

`\sigma = (150-120)/(√(12))\\\sigma = 8.66\ minutes`

The distribution's standard deviation is 8.66 minutes.