Reaction time is the amount of time it takes to respond to a stimulus, and for automobile drivers, it is an important factor in staying safe while on the road by avoiding rear-end collisions. Reaction times vary from driver to driver and tend to be longer than one might think. A recent study determined that the time for an in-traffic driver to react to a brake signal from standard brake lights can be modeled with a normal distribution having mean value 1.26 seconds and standard deviation of 0.45 seconds. If we let X denote reaction time for automobile drivers, use the appropriate Normal Distribution to determine each of the following. 1. What is the probability that a driver has a reaction time less than 0.6 seconds? 2. Approximately what proportion of drivers have a reaction time more than 2.5 seconds? 3. Within what limits, centered about the mean, would you expect driver reaction times to lie with 95% probability? What are the z-scores for these limits? 4. What is the reaction time for which only 1% of drivers have a shorter reaction time? What is its z-score? 5. What is the reaction time for which only about 5% of drivers have a longer reaction time? What is its z-score? 6. Approximately what proportion of drivers have a reaction time within three standard deviations of the mean? l USE SALT After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) To model the random variable X defined by the selected scenario, use the Normal Distribution with mean I:] and standard deviation |:] . (b) Determine each of the following values, rounded to four decimal places. 21E 3. The smaller value is :l with a corresponding zscore of :l . LA USE SALT After you have clicked the tab for your selected topic and read the problem, answer the questions below. (a) To model the random variable X defined by the selected scenario, use the Normal Distribution with mean and standard deviation (b) Determine each of the following values, rounded to four decimal places. 2 . 3. The smaller value is with a corresponding z-score of The larger value is with a corresponding z-score of 4. X = z-score = 5. X = z-score = 6. Submit Skip (you cannot come back)