Question

Avoiding an accident when driving can depend on reaction time. The reaction time measured from the moment the driver first sees the danger until he or she steps on the brake pedal. The reaction time is thought to follow bell-shaped with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.

(i) Draw the distribution of the reaction time completely with 68%, 95%, and 99.7% boundaries from the mean.

(ii) From (i), compute the percentage of drivers have a reaction time less than 1.14 seconds.
(iii) From (i), compute the percentage of drivers have reaction times between 1.68 and 1.86 seconds.

(iv) Calculate the interquartile range of reaction times.

Answer 1