Tests reveal that a driver takes about 0.75 s before he or she can react to a situation
Added by Todd B.
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The driver takes approximately 0.75 seconds to respond to a situation, which is the time it takes for the brain to process information and initiate a response. Show more…
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The time that it takes a driver to react to the brake lights on a decelerating vehicle is critical in helping to avoid rear-end collisions. The article "Fast-Rise Brake Lamp as a Collision-Prevention Device" (Ergonomics, 1993: 391–395) suggests that reaction time for an in-traffic response to a brake signal from standard brake lights can be modeled with a normal distribution having mean value 1.25 sec and standard deviation of .46 sec. What is the probability that
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The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.05 seconds. c. What is the probability that the reaction requires more than 0.5 seconds? (15 points) d. What is the reaction time that is exceeded 90% of the time? (10 points) e. BONUS: The reaction time of ten drivers is recorded. Assuming that drivers’ reaction times are independent, what is the probability that at least one driver has a reaction time that exceeds 0.5 seconds? (10 points)
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