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

Answer:

a. 8.66 minutes

Step-by-step explanation:

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

$\sigma = \frac{b-a}{\sqrt{12}}$

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

$\sigma = \frac{150-120}{\sqrt{12}}\\\sigma = 8.66\ minutes$

The distribution's standard deviation is 8.66 minutes.