Driving instructors Mr. Adams and Mr. Bateman teach class independently of each other. Among Mr. Adams’s students, 68 percent pass the driving test on the first try, while 74 percent of Mr. Bateman’s students pass the driving test on the first try. Suppose there are 40 students in Mr. Adams’s class and 50 students in Mr. Bateman’s class. Let cap A is equal to the proportion of students who pass the driving test on the first try from Mr. Adams’s class and cap b is equal to the proportion of students who pass the driving test on the first try from Mr. Bateman’s class. What is the probability that Mr. Bateman’s class has more students who pass on the first try? Use the z -table.