The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 second and a standard deviation of 0.05 second. Suppose a driver is randomly selected and their reaction time is of interest. a. [2] Write what the random variable X represents in words and state the complete distribution of X. b. [2+2] What is the probability that a reaction requires between 0.4 and 0.5 second? First write the relevant probability statements. Start a new section- write the relevant probability statements and MATLAB code to find the probability using the cdf for the normal distribution. c. [2] Start a new section. What is the reaction time that is exceeded 90% of the time? First write the probability statement of interest.