there are two routes that john goes to work (route A and Route B). route A has a shorter distance to work but occasionally john has to stop at the railway crossing. route B is fasther away from work, but thereis no railway crossing to navigate around. 80% of the time, john would take route A to work, and he would take route B to worl 20% of the time . nut when taking route A, 40% of the time a train will cross. at the railway crossing and it takes him 20 minutes to get to work. while taking route A to work, 60% of the time, there will not be any train passing by, hence he only takes 10 minutes to work. if he takes route B, it takes him 18 minutes to work

define x as the time in minutes it takes for jhon to get to work. construct a probability distribution table of x

calculated the expected value of X and provide an interpretation of its value

what would you recommend john to do based on this findings