1. The length of time between arrivals of cars in a highways tollbooth is exponentially distributed with a mean of 45 seconds. a. What is the probability that an arrival time will be greater than a minute? b. What proportion of arrivals will be in less than 30 seconds? 2. Using the data on excel file Census Education data , construct the probability distribution for race and educational status. a. What is the probability that a person is white and has a bachelor’s degree? b. What is the probability that someone known to have an associate’s degree is black? c. What is the probability that an individual of the Other race has at least an associate’s degree? d. If it is known that an individual is female, what is the probability that she drives an SUV? e. Determine whether the random variables “gender” and the event “vehicle driven” are statistically independent. What would this mean for advertisers?