Consider the following information about passengers on a cruise ship on vacation: 41% check work e-mail, 31% use a cell phone to stay connected to work, 25% bring a laptop with them on vacation, 22% both check work e-mail and use a cell phone to stay connected, and 50% neither check work e-mail nor use a cell phone to stay connected nor bring a laptop. in addition, 89% of those who bring a laptop also check work e-mail and 71% of those who use a cell phone to stay connected also bring a laptop. withe = event that a traveler on vacation checks work e-mailc = event that a traveler on vacation uses a cell phone to stay connectedl = event that a traveler on vacation brought a laptop use the given information to determine the following probabilities. a venn diagram may . (round all answers to four decimal ) p(e) =(b) p(c) =(c) p(l) =(d) p(e and c) =(e) p(ec and cc and lc ) =(f) p(e or c or l) =(g) p(e|l) = (h) p(l|c) =(i) p(e and c and l) =(j) p(e and l) =(k) p(c and l) =(l) p(c|(e and l)) =