Question

An airlines records show that its flights between two cities arrive on the average 5.4 minutes late with a standard deviation of 1.4 minutes. at least what percentage of its flights between the two cities arrive anywhere between

Answer 1

Interval between 2.6 minutes late and 8.2 minutes late is within 2 standard deviations of the mean (k =8.2â’5.4/1.4 =5.4â’2.6/1.4 = 2). By Chebyshev’s Theorem, at least 1 â’1/2^2 =3/4 of all flights, i.e. at least 75% of all flights arrive anywhere between 2.6 minutes late and 8.2 minutes late.