Consider the following to answer the question(s) below:
An airline has found that its flights between Toronto and Vancouver can take anywhere from 4.5 to 7.5 hours, with any time between this range being equally likely.
-What is the standard deviation?
A) 0.75 hours
B) 0.87 hours
C) 6 hours
D) 0.33 hours
E) 0.5 hours

Question

Quizplus · Accepted Answer

Since the range of possible flight times is 7.5 - 4.5 = 3 hours, and any time within this range is equally likely, we can use the formula for the standard deviation of a uniform distribution:

SD = (b-a)/sqrt(12)

where a is the lower bound of the range (4.5 hours) and b is the upper bound (7.5 hours).

SD = (7.5 - 4.5)/sqrt(12) = 0.866 hours, which is closest to option B, 0.87 hours.

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